Explore BrainMass

Explore BrainMass

    Evaluate the Integrals

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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
    Evaluate the improper integral: ∫ ln(x)dx

    Evaluate ∫x(e^3x)dx

    keywords: integrates, integration, integrated

    © BrainMass Inc. brainmass.com December 15, 2022, 5:22 pm ad1c9bdddf


    Solution Preview

    Hello and thank you for posting your question to Brainmass!

    The solution is attached below (next to the paperclip icon) in two formats. one is in Word XP Format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.


    To solve the integral we use a substitution:

    Since we obtain:


    The area ...

    Solution Summary

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