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Q. 54

Found in: Page 362


Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Short Answer

Use integration formulas to solve each integral in Exercises 21–62. You may have to use algebra, educated guess- and- check, and/or recognize an integrand as the result of a product, quotient, or chain rule calculation. Check each of your answers by differentiating. (Hint for Exercise 54: tanx = sinxcosx).


The value of the given integral is -ln(cosx) +c.

See the step by step solution

Step by Step Solution

Step 1. Given Information.

Given is a integral: tanxdx.

Step 2. Formula involved.

1tdt = lnt +c.

Step 3. Solving the integral.

tanxdx = sinxcosxdxLet t = cosxdt = -sinxdxPutting the value in the integral=-1tdt = -lnt+c = -ln(cosx) +c.

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