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Evaluate the Integrals

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

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Integrals are found. The solution is detailed and well presented.

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