Evaluating Definite IntegralsUse the

Chapter 5, Problem 8E

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QUESTION:

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

a. \(\int_{0}^{1} \frac{10 \sqrt{v}}{\left(1+v^{3 / 2}\right)^{2}} d v\)

b. \(\int_{1}^{4} \frac{10 \sqrt{v}}{\left(1+v^{3 / 2}\right)^{2}} d v\)

Equation Transcription:

Text Transcription:

int_0 ^1 10 sqrt v / (1+v^3/2)^2dv

int_1 ^4 10 sqrt v / (1+v^3/2)^2dv

Questions & Answers

QUESTION:

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

a. \(\int_{0}^{1} \frac{10 \sqrt{v}}{\left(1+v^{3 / 2}\right)^{2}} d v\)

b. \(\int_{1}^{4} \frac{10 \sqrt{v}}{\left(1+v^{3 / 2}\right)^{2}} d v\)

Equation Transcription:

Text Transcription:

int_0 ^1 10 sqrt v / (1+v^3/2)^2dv

int_1 ^4 10 sqrt v / (1+v^3/2)^2dv

ANSWER:

Solution
Step 1 of 2:

By using substitution formula we have to find the given integrals

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