Evaluating Definite IntegralsUse the

Chapter 5, Problem 2E

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QUESTION:

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

a. \(\int_0^1r\sqrt{1-r^2}\ dr\)

b. \(\int_{-1}^1r\sqrt{1-r^2}\ dr\)

Equation Transcription:

Text Transcription:

int_0 ^1 r sqrt 1 - r^2 dr

int_-1 ^1 r sqrt 1 - r^2 dr

Questions & Answers

QUESTION:

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

a. \(\int_0^1r\sqrt{1-r^2}\ dr\)

b. \(\int_{-1}^1r\sqrt{1-r^2}\ dr\)

Equation Transcription:

Text Transcription:

int_0 ^1 r sqrt 1 - r^2 dr

int_-1 ^1 r sqrt 1 - r^2 dr

ANSWER:

Solution

Step 1 of 4

In this problem we have to determine the value of the given definite integral using the substitution formula.

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