   Chapter 4.4, Problem 19E

Chapter
Section
Textbook Problem

Evaluating a Definite Integral In Exercises 9–36, evaluate the definite integral. Use a graphing utility to verify your result. ∫ − 1 1 ( t 3 − 2 ) d t

To determine

To calculate: Value of definite integral 11(t32)dt and verify the result using graphing utility.

Explanation

Given: Integral 11(t32)dt

Formula used: As according to fundamental theorem of calculus

abf(x)dx=F(b)F(a)

Calculation: Consider the given integral I=11(t32)dt

The given integral is solved as,

11(t32)dt=[3t4342t]11=[3t438t4]11

As according to fundamental theorem of calculus

abf(x)dx=F(b)F(a)

Here, F=3t438</

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