Courses

AP (Advanced Placement) Calculus BC : Integration

Deepen your Calculus knowledge by learning the concepts, methods, and techniques of integration. Explore the mathematical connections that will help you solve real-world problems using integration.

Difficulty Level: INTERMEDIATE

Age group: 15-19

This course Includes

16 live tutoring sessions

Access on mobile and web

Certificate of completion

Typical Price

$29 .59

/ session / seat

30-Day Money-Back Guarantee

Content

Integration and Accumulation of Change - Exploring Accumulation of Change - Approximating Areas With Riemann Sums - Riemann Sums, Summation Notation, and Definite Integral Notation - The Fundamental Theorem of Calculus and Accumulation Functions - Interpreting the Behavior of Accumulation Functions Involving Area - Applying Properties of Definite Integrals - The Fundamental Theorem of Calculus and Definite Integrals - Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation - Integrating Using Substitution - Integrating Functions Using Long Division and Completing the Square - Integrating Using Integration by Parts - Using Linear Partial Fractions - Evaluating Improper Integrals - Selecting Techniques for Anti differentiation - Integration : Assignment Differential Equations - Modeling Situations With Differential Equations - Verifying Solutions for Differential Equations - Sketching Slope Fields - Approximating Solutions Using Euler's Method - Finding General Solutions Using Separation of Variables - Finding Particular Solutions Using Initial Conditions and Separation of Variables - Exponential Models With Differential Equations - Logistic Models With Differential Equations - Differential Equations : Assignment Application of Integration - Finding the Average Value of a Function on an Interval - Connecting Position, Velocity, and Acceleration of Functions Using Integrals - Using Accumulation Functions and Definite Integrals in Applied Contexts - Finding the Area Between Curves Expressed as Functions of x - Finding the Area Between Curves Expressed as Functions of y - Finding the Area Between Curves That Intersect at More Than Two Points - Volumes With Cross Sections: Squares and Rectangles - Volumes With Cross Sections: Triangles and Semicircles - Volume of Disc Method: Revolving Around the X- or Y-axis - Volume With Disc Method: Revolving Around the Other Axis - Volume With Washer Method: Revolving Around the X- or Y-axis - Volume With Washer Method: Revolving Around the Other Axis - The Arc Length of a Smooth, Planar Curve and Distance Traveled - Application of Integration : Assignment

Prerequisites

Should have studied algebra, geometry, trigonometry, analytic geometry, and elementary functions
Should understand the properties of linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric functions
Should be familiar with basic concepts of differentiation

Objectives

Enhance problem-solving skills through advanced practice with challenging integrals and their applications, preparing for higher-level mathematics and related fields.
Explore and analyze the applications of definite integrals in real-world contexts, such as calculating work, center of mass, and fluid pressure.
Apply integration to solve complex problems in physics and engineering, such as finding the area under curves and volumes of solids of revolution.
Develop a deep understanding of improper integrals and their convergence criteria.
Master the techniques of integration, including integration by parts, trigonometric integrals, and partial fraction decomposition.

Learning Outcomes

You will learn the properties of integration and practice useful integration techniques
You will explore the concepts of limits on definite integrals
You will become skillful in solving the differential equations
You will gain an understanding of exponential growth/decay and logistic models
You will master finding the volumes, areas, and lengths of arc

Why learn with EnthuZiastic?

Here's why more and more people are joining EnthuZiastic

Personalized Lessons

Customize your lessons to meet your individual goals.

Expert Teachers

Top rated teachers to guide you through the learning process.

Flexible Timings

Attend classes anytime, anywhere. Make your own schedule.

Easy Rescheduling

manage holidays or conflicting appointments easily by rescheduling classes.

Complete Support

A compassionate support team to listen to your needs.

Completion Certificate

You will get a certificate for the completion of the course.

How it works?

Enroll

Enroll for the course of your liking by selecting 1:1 or group classes. Choose the type of instructor you want to learn with.

Schedule

Download Enthu app and schedule classes for the day and time that works best for you. You own your learning schedule.

Learn

Join classes on Zoom and start learning with lessons customized for you. Make most of our student success program.

Value Proposition

We offer a diverse range of interactive classes, ensuring accessible and personalized education for everyone, anytime, anywhere.

Carefully Curated Expert Instructors

All courses are taught by our expert instructors who are carefully chosen with a rigorous < 1% acceptance rate. For every 100 tutors interviewed, only 1 is chosen, ensuring you get the best.

Engaging and Interactive Classes

Each session is designed to be dynamic and captivating, ensuring the learner stays excited and engaged throughout.

Progress Reports

Our team works hard behind the scenes to create and maintain a meticulously detailed progress report for each learner as they progress through the sessions.

Session Recordings

The recordings of each session are automatically available in the app after 24 hours of each session, they are extremely helpful for revisions.

Certificates

Some rewards are necessary for motivating learners and Enthuziastic awards dedicated learners with official certificate of completion and if they win in any of our regular competitions, they are awarded the respective winners certificates.

Feedback and Assignments

Parents/Learners provide us regular feedback after every session through a formal submission in the app, this helps us customize the learning path after every session according to how the learners are responding to the tutoring.

Chat Communication

Connect with instructors and peer learners directly via our app's dedicated chat group for every batch fostering a community experience while learning together.

24/7 Support

We take great pride in our service delivery. We're here for you round the clock to address any questions or concerns.

Quality & Affordability

The entire Enthuziastic team strives hard to bring you high quality learning at affordable prices. Because of the support of learners like yourself, we continue to grow our offerings and keep making them more and more affordable.

Personal Family Buddy

You will be assigned a personal family buddy, whom you can continuously stay in touch through and beyond your learners learning journey. Whatever your needs are you can always reach out to your Family Buddy/Student Success Manager whose only job is to make your learning journey successful.

Carefully Curated Expert Instructors

All courses are taught by our expert instructors who are carefully chosen with a rigorous < 1% acceptance rate. For every 100 tutors interviewed, only 1 is chosen, ensuring you get the best.

Engaging and Interactive Classes

Each session is designed to be dynamic and captivating, ensuring the learner stays excited and engaged throughout.

Progress Reports

Our team works hard behind the scenes to create and maintain a meticulously detailed progress report for each learner as they progress through the sessions.

Session Recordings

The recordings of each session are automatically available in the app after 24 hours of each session, they are extremely helpful for revisions.

Certificates

Feedback and Assignments

Chat Communication

Connect with instructors and peer learners directly via our app's dedicated chat group for every batch fostering a community experience while learning together.

24/7 Support

We take great pride in our service delivery. We're here for you round the clock to address any questions or concerns.

Quality & Affordability

Personal Family Buddy

Do you have any questions?

Fill this form and we will respond back, on priority.

This course Includes

16 live tutoring sessions

Access on mobile and web

Certificate of completion

Typical Price

$29 .59

/ session / seat

30-Day Money-Back Guarantee

Courses

AP (Advanced Placement) Calculus BC : Integration

Deepen your Calculus knowledge by learning the concepts, methods, and techniques of integration. Explore the mathematical connections that will help you solve real-world problems using integration.

Difficulty Level: INTERMEDIATE

Age group: 15-19

This course Includes

16 live tutoring sessions

Access on mobile and web

Certificate of completion

Typical Price

$29 .59

/ session / seat

30-Day Money-Back Guarantee

Content

Prerequisites

Should have studied algebra, geometry, trigonometry, analytic geometry, and elementary functions
Should understand the properties of linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric functions
Should be familiar with basic concepts of differentiation

Objectives

Enhance problem-solving skills through advanced practice with challenging integrals and their applications, preparing for higher-level mathematics and related fields.
Explore and analyze the applications of definite integrals in real-world contexts, such as calculating work, center of mass, and fluid pressure.
Apply integration to solve complex problems in physics and engineering, such as finding the area under curves and volumes of solids of revolution.
Develop a deep understanding of improper integrals and their convergence criteria.
Master the techniques of integration, including integration by parts, trigonometric integrals, and partial fraction decomposition.

Learning Outcomes

You will learn the properties of integration and practice useful integration techniques
You will explore the concepts of limits on definite integrals
You will become skillful in solving the differential equations
You will gain an understanding of exponential growth/decay and logistic models
You will master finding the volumes, areas, and lengths of arc

Why learn with EnthuZiastic?

Here's why more and more people are joining EnthuZiastic

Personalized Lessons

Customize your lessons to meet your individual goals.

Expert Teachers

Top rated teachers to guide you through the learning process.

Flexible Timings

Attend classes anytime, anywhere. Make your own schedule.

Easy Rescheduling

manage holidays or conflicting appointments easily by rescheduling classes.

Complete Support

A compassionate support team to listen to your needs.

Completion Certificate

You will get a certificate for the completion of the course.

How it works?

Enroll

Enroll for the course of your liking by selecting 1:1 or group classes. Choose the type of instructor you want to learn with.

Schedule

Download Enthu app and schedule classes for the day and time that works best for you. You own your learning schedule.

Learn

Join classes on Zoom and start learning with lessons customized for you. Make most of our student success program.

Value Proposition

We offer a diverse range of interactive classes, ensuring accessible and personalized education for everyone, anytime, anywhere.

Carefully Curated Expert Instructors

All courses are taught by our expert instructors who are carefully chosen with a rigorous < 1% acceptance rate. For every 100 tutors interviewed, only 1 is chosen, ensuring you get the best.

Engaging and Interactive Classes

Each session is designed to be dynamic and captivating, ensuring the learner stays excited and engaged throughout.

Progress Reports

Our team works hard behind the scenes to create and maintain a meticulously detailed progress report for each learner as they progress through the sessions.

Session Recordings

The recordings of each session are automatically available in the app after 24 hours of each session, they are extremely helpful for revisions.

Certificates

Feedback and Assignments

Chat Communication

Connect with instructors and peer learners directly via our app's dedicated chat group for every batch fostering a community experience while learning together.

24/7 Support

We take great pride in our service delivery. We're here for you round the clock to address any questions or concerns.

Quality & Affordability

Personal Family Buddy

Carefully Curated Expert Instructors

All courses are taught by our expert instructors who are carefully chosen with a rigorous < 1% acceptance rate. For every 100 tutors interviewed, only 1 is chosen, ensuring you get the best.

Engaging and Interactive Classes

Each session is designed to be dynamic and captivating, ensuring the learner stays excited and engaged throughout.

Progress Reports

Our team works hard behind the scenes to create and maintain a meticulously detailed progress report for each learner as they progress through the sessions.

Session Recordings

The recordings of each session are automatically available in the app after 24 hours of each session, they are extremely helpful for revisions.

Certificates

Feedback and Assignments

Chat Communication

Connect with instructors and peer learners directly via our app's dedicated chat group for every batch fostering a community experience while learning together.

24/7 Support

We take great pride in our service delivery. We're here for you round the clock to address any questions or concerns.

Quality & Affordability

Personal Family Buddy