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Chapter 5: Q 28. (page 452)

Solve the following integral.

鈭�tan6xdx

Short Answer

Expert verified

Answer istan5x5-tan3x3+tanx-x+C

Step by step solution

01

Step 1. Given information

An integral is鈭�tan6xdx

02

Step 2. Explanation

Let tanx=u

鈭�tan6xdx=鈭�u6u2+1du=鈭�u4-u2+1-1u2+1du=u55-u33+u-tan-1u+C=tan5x5-tan3x3+tanx-x+C

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Most popular questions from this chapter

Solve the integral:鈭�x2cosxdx.

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(a) with the trigonometric substitution x = 3 tan u;

(b) with algebra and the derivative of the arctangent.

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