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# Evaluate the following integrals. | Ch 7.3 - 32E ISBN: 9780321570567 2

## Solution for problem 32E Chapter 7.3

Calculus: Early Transcendentals | 1st Edition

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Problem 32E

Evaluate the following integrals. Step-by-Step Solution:
Step 1 of 3

Problem 32E

Evaluate the following integrals.  dx.

Step-1

The given integral is By  the substitution method we can evaluate the limit .

For our convenience  let , us take  x = 3 sin(p)  (or) x = 3 cos(p)

Let  x = 3 sin(p) , that implies = sin(p) = , = cos(p) = , and tan(p) = = , cot (p)  = …………..(1)

Then the integrand becomes = = , since = 9.

= = ,

since (p) + = 1 , and = 9.

= = cot(p) cosec(p) ,

since = cosec(p) , = cot(p)

Therefore , if x = 3 sin(p) , then =...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321570567

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