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Chapter 5: Q. 59 (page 465)

Solve the integrals. Some integrals require trigonometric substitution, and some do not. Write your answers as algebraic functions whenever possible.

鈭�3-x23/2dx

Short Answer

Expert verified

On solving the integrals, we get,

Step by step solution

01

Step 1. Given information.

Consider the given question,

鈭�3-x23/2dx

02

Step 2. Solve the integral.

Assume x=3sinhu.

Now, derivation

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Most popular questions from this chapter

Solve鈭�x4+x2dxthe following two ways:

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

(b) with the trigonometric substitution x = 2 tan u.

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For each integral in Exercises 5鈥�8, write down three integrals that will have that form after a substitution of variables.

鈭�1udu

Solve the integral:鈭�xexdx

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