Q. 11 Find three integrals in Exercise... [FREE SOLUTION]

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Chapter 5: Q. 11 (page 428)

Find three integrals in Exercises 27鈥�70 for which a good strategy is to use integration by parts with $u = x$ and dv the remaining part.

Short Answer

Expert verified

$鈭� x e^{x} d x$ , $鈭� x \sin x d x$ , $鈭� x \cos x d x$

Step by step solution

Step 1. Given information

Integrals should be solved by using integration by parts and by taking $u = x$ .

Step 2. Observing the integrals

The integral $鈭� x e^{x} d x$ is the product of two functions namely x and $e^{x}$ . It can be solved easily by taking $u = x$ , which makes dv equal to $e^{x} d x$ .
The integral $鈭� x \sin x d x$ is the product of two functions namely x and $\sin x$ . It can be solved easily by taking $u = x$ , which makes dv equal to $\sin x d x$ .
The integral $鈭� x \cos x d x$ is the product of two functions namely x and $\cos x$ . It can be solved easily by taking $u = x$ , which makes dv equal to $\cos x d x$ .

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91影视

Find three integrals in Exercises 27鈥�70 for which a good strategy is to use integration by parts with $u = x$ and dv the remaining part.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Observing the integrals

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91影视

Find three integrals in Exercises 27鈥�70 for which a good strategy is to use integration by parts with u=xand dv the remaining part.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Observing the integrals

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Decision Maths

Applied Mathematics

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find three integrals in Exercises 27鈥�70 for which a good strategy is to use integration by parts with $u = x$ and dv the remaining part.