Evaluating Definite IntegralsUse the

Chapter 5, Problem 7E

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QUESTION:

Use the Substitution Formula in Theorem 7 to evaluate the integrals in Exercises 1–46.

a. \(\int_{-1}^{1} \frac{5 r}{\left(4+r^{2}\right)^{2}} d r\)

b. \(\int_{0}^{1} \frac{5 r}{\left(4+r^{2}\right)^{2}} d r\)

Equation Transcription:

Text Transcription:

int_-1 ^1 5r / (4+r^2)^2 dr

int_0 ^1 5r / (4+r^2)^2 dr

Questions & Answers

QUESTION:

Use the Substitution Formula in Theorem 7 to evaluate the integrals in Exercises 1–46.

a. \(\int_{-1}^{1} \frac{5 r}{\left(4+r^{2}\right)^{2}} d r\)

b. \(\int_{0}^{1} \frac{5 r}{\left(4+r^{2}\right)^{2}} d r\)

Equation Transcription:

Text Transcription:

int_-1 ^1 5r / (4+r^2)^2 dr

int_0 ^1 5r / (4+r^2)^2 dr

ANSWER:

Solution
Step 1 of 2:

By using substitution formula we have to find the given integrals

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