Evaluating Definite IntegralsUse the

Chapter 5, Problem 13E

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QUESTION:

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

a. \(\int_{0}^{2 \pi} \frac{\cos z}{\sqrt{4+3 \sin z}} d z\)

b. \(\int_{-\pi}^{\pi} \frac{\cos z}{\sqrt{4+3 \sin z}} d z\)

Equation Transcription:

Text Transcription:

int_0 ^2pi cos z / sqrt 4+3 sin z dz

int_-pi ^pi cos z / sqrt 4+3 sin z dz

Questions & Answers

QUESTION:

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

a. \(\int_{0}^{2 \pi} \frac{\cos z}{\sqrt{4+3 \sin z}} d z\)

b. \(\int_{-\pi}^{\pi} \frac{\cos z}{\sqrt{4+3 \sin z}} d z\)

Equation Transcription:

Text Transcription:

int_0 ^2pi cos z / sqrt 4+3 sin z dz

int_-pi ^pi cos z / sqrt 4+3 sin z dz

ANSWER:

Solution:

Step 1 of 5:

In this question, we have to use the Substitution Formula in Theorem 7 to evaluate the integrals.

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