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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

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    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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