Chapter 13.2, Problem 32E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

In Problems 33-36, evaluate each integral (a) with the Fundamental Theorem of Calculus and (b) with a graphing calculator (as a check).

**(a)**

To determine

**To calculate:** The value of the integral

Explanation

**Given Information:**

The provided integral is

**Formula used:**

To calculate a definite integral, evaluate the indefinite integral and then substitute the limits of the integral.

The value of the integral

The value of the expression

Fundamental Theorem of Calculus:

If *f* is a continuous function on a closed interval *f* exists and its value is *F* is a function such that *x* in

**Calculation:**

Consider the integral

Recall that to calculate a definite integral, evaluate the indefinite integral and then substitute the limits of the integral.

Thus, evaluate the integral.

Consider the expression

Differentiate with respect to *x*.

Thus,

Recall that if *f* is a continuous function on a closed interval *f* exists and its value is *F* is a function such that *x* in

**(b)**

To determine

**To calculate:** The value of the integral

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