Integrating Trigonometric Functions

Integrating Trigonometric Functions

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF.TF.B.7

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.HSF.TF.B.7
The video tutorial explains how to integrate trigonometric functions using u-substitution, focusing on cosine functions with linear angles. It provides a general method for integrating sine and cosine functions when the angle is a linear function. The tutorial includes examples and practice problems for integrating sine, secant squared, and secant functions, emphasizing the importance of dividing by the derivative of the angle.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in using u-substitution to integrate cosine 2x?

Set u equal to 2x

Find the derivative of cosine

Set u equal to cosine 2x

Find the antiderivative of sine

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the antiderivative of cosine?

Secant

Cosine

Sine

Tangent

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of sine?

Negative sine

Cosine

Negative cosine

Sine

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you integrate cosine 3x using the general process?

Sine 3x divided by 3

Cosine 3x divided by 3

Sine 3x times 3

Cosine 3x times 3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the integral of cosine 4x?

Sine 4x times 4

Cosine 4x over 4

Cosine 4x times 4

Sine 4x over 4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the integral of cosine 7x minus 5?

Sine 7x minus 5 over 7

Cosine 7x minus 5 over 7

Sine 7x minus 5 times 7

Cosine 7x minus 5 times 7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the integral of sine 6x?

Cosine 6x over 6

Negative cosine 6x over 6

Negative sine 6x over 6

Sine 6x over 6

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