   Chapter 5.4, Problem 25E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Evaluating a Definite Integral In Exercises 17-38, evaluate the definite integral. See Examples 3 and 4. ∫ − 1 1 ( t 3 − 2 ) d t

To determine

To calculate: The value of definite integral 11(t32)dt.

Explanation

Given Information:

The integral is 11(t32)dt.

Formula used:

The fundamental theorem of calculus states that,

If f is integrable on interval [a,b] then abf(x)dx=F(b)F(a).

The integration formula is xndx=xn+1n+1+C.

Calculation:

Consider the integral,

11(t32)dt

Write this in radical form as,

11(t32)dt=11(t1/32)dt

First find antiderivative by applying the integration formula,

11

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