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Math Help - When should one use integration by parts?

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    When should one use integration by parts?

    I understand that u-sub is like the anti chain rule.

    What what is integration by parts and when should I use it (such as visual cues)

    small examples of what integration by parts should look like are nice.
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    Quote Originally Posted by RET80 View Post
    I understand that u-sub is like the anti chain rule.

    What what is integration by parts and when should I use it (such as visual cues)

    small examples of what integration by parts should look like are nice.
     <br />
\int xe^x \, dx<br />

     <br />
\int xe^{x^2} dx<br />

    one you would use substitution ... one you would use parts.

    try and determine which method for each integral, then think about why you chose as you didi.
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    Quote Originally Posted by RET80 View Post
    I understand that u-sub is like the anti chain rule.

    What what is integration by parts and when should I use it (such as visual cues)

    small examples of what integration by parts should look like are nice.
    Use integration by parts when you have:

    \int x^n*e^{ax}dx, \int x^n*sin(ax)dx, \int x^n*cos(ax)dx, \int x^n*ln(x)dx, \int x^n*arcsin(ax)dx, \int x^n*arctan(ax)dx, \int e^{ax}*sin(bx)dx, and \int e^{ax}*cos(bx)dx
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