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Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

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BuyFindarrow_forward

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

Evaluating a Definite Integral In Exercises 9–36, evaluate the definite integral. Use a graphing utility to verify your result.

1 2 ( 3 x 2 1 ) d u

To determine

To calculate: Value of definite integral 12(3x21)dx and verify result using graphing utility.

Explanation

Given: Integral 12(3x21)dx

Formula used:

As according to fundamental theorem of calculus

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

Calculation: Consider the given integral I=12(3x21)dx.

The integral is solved as,

12(3x21)dx=[3xx]12

So, I=[3xx]12

As according to fundamental theorem of calculus

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

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