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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Finding Indefinite Integrals In Exercises 1–14, find the indefinite integral. Check your result by differentiating.

14 x 5 / 2 d x

To determine

To calculate: The indefinite integral 14x5/2dx.

Explanation

Given Information:

The provided indefinite integral is 14x5/2dx.

Formula used:

The power rule of integrals:

undu=xn+1n+1+C (for n1)

The power rule of differentiation:

dduun=nun1+C

Calculation:

Consider the indefinite integral:

14x5/2dx

Rewrite as,

14x5/2dx

Now apply, the power rule of integrals:

14x5/2dx=14(x52+152+1<

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