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Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

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Chapter
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BuyFindarrow_forward

Calculus (MindTap Course List)

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

Using the Second Fundamental Theorem of Calculus In Exercises 75-80, use the Second Fundamental Theorem of Calculus to find F'( x ).

F ( x ) = 1 x t 4 d t

To determine

To calculate: The value of function F(x)=1xt4dt on differentiation using second fundamental theorem of calculus.

Explanation

Given:

The function,

F(x)=1xt4dt

Formula used:

The differentiation will be broken to parts according to

By using formula

ddx(f(x)+g(x))=ddx(f(x))+ddx(g(x))

According to the second fundamental of calculus, where u is the upper limit in the integral

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