Answer: In Exercises 1–24, find an antiderivative for each

Chapter 4, Problem 3E

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QUESTION:

Find an antiderivative for each function. Do as many as you can mentally. Check your answers by differentiation.

a. \(\pi \cos \pi x\)               b. \(\frac{\pi}{2} \cos \frac{\pi x}{2}\)               c. \(\cos \frac{\pi x}{2}+\pi \cos x\)

Equation Transcription:

Text Transcription:

pi cosine pi x

pi/2 cosine pix/2

cosine pix/2+ oi cosine x

Questions & Answers

QUESTION:

Find an antiderivative for each function. Do as many as you can mentally. Check your answers by differentiation.

a. \(\pi \cos \pi x\)               b. \(\frac{\pi}{2} \cos \frac{\pi x}{2}\)               c. \(\cos \frac{\pi x}{2}+\pi \cos x\)

Equation Transcription:

Text Transcription:

pi cosine pi x

pi/2 cosine pix/2

cosine pix/2+ oi cosine x

ANSWER:

Solution :Step 1 :In this problem, we have to find the antiderivative of the function and check the answer by differentiation .

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