Evaluating Definite IntegralsUse the

Chapter 5, Problem 12E

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QUESTION:

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

a. \(\int_0^{\pi/6}(1-\cos3t)\sin3t\ dt\)

b. \(\int_{\pi/6}^{\pi/3}(1-\cos3t)\sin3t\ dt\)

Equation Transcription:

Text Transcription:

int_0 ^pi/6 (1-cos 3t) sin 3t dt

int_pi/6 ^pi/3 (1-cos 3t) sin 3t dt

Questions & Answers

QUESTION:

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

a. \(\int_0^{\pi/6}(1-\cos3t)\sin3t\ dt\)

b. \(\int_{\pi/6}^{\pi/3}(1-\cos3t)\sin3t\ dt\)

Equation Transcription:

Text Transcription:

int_0 ^pi/6 (1-cos 3t) sin 3t dt

int_pi/6 ^pi/3 (1-cos 3t) sin 3t dt

ANSWER:

Solution:

Step 1 of 3:

We have to evaluate the integrals of the given function.

Given that

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