Verify the formulas in Exercises 71–82 by

Chapter 4, Problem 80E

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QUESTION:

Verify the formulas in Exercises \(71–82\) by differentiation.

\(\int \frac{d x}{\sqrt{a^{2}-x^{2}}}=\sin ^{-1}\left(\frac{x}{a}\right)+C\)

Equation Transcription:

71–82

Text Transcription:

71–82

the integral of dx/square root of a^2-x^2 = sin -1 (x/a)+C

Questions & Answers

QUESTION:

Verify the formulas in Exercises \(71–82\) by differentiation.

\(\int \frac{d x}{\sqrt{a^{2}-x^{2}}}=\sin ^{-1}\left(\frac{x}{a}\right)+C\)

Equation Transcription:

71–82

Text Transcription:

71–82

the integral of dx/square root of a^2-x^2 = sin -1 (x/a)+C

ANSWER:

Solution

Step 1 of 2

In this problem, we have to verify the formula of differentiation

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