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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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Checkpoint 1

Determine the convergence or divergence of each improper integral.

1 1 x 3 d x

1 1 x d x

(a)

To determine

Whether the improper integral 11x3dx is convergent or divergent.

Explanation

Given Information:

The provided improper integral is:

11x3dx

Consider provided integral.

11x3dx

If f is continuous on the interval [a,] then

af(x)dx=limbabf(x)

If the limit exists then the improper integral converges otherwise diverges

Then,

(b)

To determine

To calculate: Whether the improper integral 11xdx is convergent or divergent.

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