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# Evaluate the Integrals

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A. Evaluate ∫ x(sqrt(x+1))dx
B. Find the area bounded by y= x/(1+x)^2, y=0, x=0, and x=2
C. Evaluate ∫ 1/x(sqrt(x+9))dx
D. Find the indefinite integral using integration by parts: ∫x^2(e^2x)dx
Infinity
Evaluate the improper integral: ∫ ln(x)dx
0

F.
Evaluate ∫x(e^3x)dx

keywords: integrates, integration, integrated

https://brainmass.com/math/integrals/evaluate-indefinite-integrals-78991

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A.

To solve the integral we use a substitution:

Since we obtain:

B.

The area ...

#### Solution Summary

Integrals are found. The solution is detailed and well presented. The expert evaluates the improper integral functions.

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