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Math Help - Integration - exponents and logs

  1. #1
    Junior Member Coco87's Avatar
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    Integration - exponents and logs

    Hey again,
    Looks like integration by parts is real trouble for me

    I have a problem that I must integrate:

    \int{s2^s}ds

    I set:

    u=s

    dv=2^s

    du=1

    v=\frac{2^s}{\ln{2}}

    And I get:

    s\ln{2}-\int{\frac{2^s}{\ln{2}}}

    I have no idea what to do with that integral
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  2. #2
    Super Member
    Joined
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    Quote Originally Posted by Coco87 View Post
    Hey again,
    Looks like integration by parts is real trouble for me

    I have a problem that I must integrate:

    \int{s2^s}ds

    I set:

    u=s

    dv=2^s

    du=1

    v=\frac{2^s}{\ln{2}}

    And I get:

    s\ln{2}-\int{\frac{2^s}{\ln{2}}}

    I have no idea what to do with that integral
    But...didn't you just integrate it? Don't let the ln2 confuse you, it's just a constant, you can pull it out like this.

    \frac{1}{\ln{2}} \int 2^s ds
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  3. #3
    Junior Member Coco87's Avatar
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    Quote Originally Posted by Chop Suey View Post
    But...didn't you just integrate it? Don't let the ln2 confuse you, it's just a constant, you can pull it out like this.

    \frac{1}{\ln{2}} \int 2^s ds
    ... that was the issue... got the correct answer.

    Thanks!

    I never thought of \ln{} as a constant, you have just saved me a headache on previous and future problems
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