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Chapter 5: Q 74. (page 429)

Solve the definite integral.

鈭�-蟺4-蟺4xsecxtanxdx

Short Answer

Expert verified

The solution is0.

Step by step solution

01

Step 1. Given information.

The given integral is鈭�-蟺4-蟺4xsecxtanxdx.

02

Step 2. Solve the integral using the properties of the definite integral.

In this problem, both the limits are the same.

So, use the following property.

鈭�zzf(x)dx=0

Hence, the value of the integral is鈭�-蟺4-蟺4xsecxtanxdx=0.

03

Step 3. Simplified answer.

The value of the given integral is0.

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Most popular questions from this chapter

Solve the integral:鈭�xlnxdx

Solve 鈭�x+2x2+4x32dxthe following two ways:

(a) with the substitution u=x2+4x;

(b) by completing the square and then applying the trigonometric substitution x + 2 = 2 sec u.

Find three integrals in Exercises 27鈥�70 for which a good strategy is to use integration by parts with u=xand dv the remaining part.

Find three integrals in Exercises 27鈥�70 for which a good strategy is to apply integration by parts twice.

Find three integrals in Exercises 21鈥�70 in which the denominator of the integrand is a good choice for a substitution u(x).
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