   Chapter 7.5, Problem 15E

Chapter
Section
Textbook Problem

Evaluate the integral.15. ∫ x sec x tan x   d x

To determine

To evaluate: The integral function xsecxtanxdx.

Explanation

Given information:

The integral function is xsecxtanxdx.

Calculation:

Show the integral function as follows:

xsecxtanxdx (1)

Consider u=x (2)

Differentiate both sides of the equation (2).

dudx=1du=dx

Consider dv=secxtanxdx (3)

Integrate both sides of Equation (3).

dv=secxtanxdx (4)

Show the formula for integration.

secxtanxdx=secx (5)

Apply Equation (5) in Equation (4).

dv=secxtanxdx=secxv=secx

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