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Chapter 5: Q 25. (page 452)

Solve the integral.

鈭�tan2xdx

Short Answer

Expert verified

Answer islogsec2x2

Step by step solution

01

Step 1. Given information

An integral is鈭�tan2xdx

02

Step 2. Explanation

Consider the integral 鈭�tan2xdx

鈭�tan2xdx=logsec2x2+C

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Most popular questions from this chapter

Complete the square for each quadratic in Exercises 28鈥�33. Then describe the trigonometric substitution that would be appropriate if you were solving an integral that involved that quadratic.

x2-5x+1

Solve the integral:鈭�xcosxdx.

Why don鈥檛 we ever have cause to use the trigonometric substitution x=cosu?

Solve the integral:鈭�xlnxdx

For each function u(x) in Exercises 9鈥�12, write the differential du in terms of the differential dx.

u(x)=x2+x+1
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