Use the Substitution Formula in Theorem 7 to

Chapter 5, Problem 10E

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QUESTION:

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

a. \(\int_{0}^{1} \frac{x^{3}}{\sqrt{x^{4}+9}} \ d x\)

b. \(\int_{-1}^{0} \frac{x^{3}}{\sqrt{x^{4}+9}} \ d x\)

Equation Transcription:

Text Transcription:

Integral_0 ^1 x^3/sqrt x^4 + 9 dx

Integral_-1 ^0 x^3/sqrt x^4 + 9 dx

Questions & Answers

QUESTION:

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

a. \(\int_{0}^{1} \frac{x^{3}}{\sqrt{x^{4}+9}} \ d x\)

b. \(\int_{-1}^{0} \frac{x^{3}}{\sqrt{x^{4}+9}} \ d x\)

Equation Transcription:

Text Transcription:

Integral_0 ^1 x^3/sqrt x^4 + 9 dx

Integral_-1 ^0 x^3/sqrt x^4 + 9 dx

ANSWER:

SOLUTION

Step 1

Here, we are asked to use the substitution formula in order to evaluate the given definite integrals.

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