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Chapter 5: Q. 55 (page 407)

Solve each of the integrals in Exercises 21鈥�66. Some of the integrals require the methods presented in this section, and some do not. (The last four exercises involve hyperbolic functions.)

鈭�cos3xsec2xdx

Short Answer

Expert verified

The soluton of the integral issinx+C.

Step by step solution

01

Step 1. Given Information

The given integral is鈭�cos3xsec2xdx.

02

Step 2. Rewrite

  • Use the trigonometric identities to rewrite the integral as follows:

鈭�cos3xsec2xdx=鈭�cos3xcos2(x)dx=鈭�cosxdx

03

Step 3. Integrate

Integrate the obtained integral using the trigonometric formulas.

鈭�cosxdx=sinx+C

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Most popular questions from this chapter

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