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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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In Exercises 1-12, evaluate the definite integral.

0 2 ( 4 y 2 ) d y

To determine

To calculate: The value of definite integral 02(4y2)dy.

Explanation

Given Information:

Provided function is a variable function of f of form yn for which f(y)=(4y2).

Formula used:

If f(x)dx=F(x) then definite integral for,

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

yndy=yn+1n+1+c

Calculation:

Consider the given equation,

f(y)=(4y2)

On integrating both sides,

f(y)dy=(4y2)dyf(y)dy=4yy3

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