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Math Help - Indefinite Integral

  1. #1
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    Indefinite Integral

    Find the Integral of (t^2 - a)(t^2 - b) * dt.

    I tried combining to (t^4 -bt^2 - at^2 + ab) but this didn't give me much.
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  2. #2
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    Quote Originally Posted by WartonMorton View Post
    Find the Integral of (t^2 - a)(t^2 - b) * dt.

    I tried combining to (t^4 -bt^2 - at^2 + ab) but this didn't give me much.
    No, It gives.
    \int (t^4 -bt^2 - at^2 + ab) dt = \int t^4 dt - (a+b)\int t^2 dt + ab \int dt.
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  3. #3
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    Smile

    Quote Originally Posted by WartonMorton View Post
    Find the Integral of (t^2 - a)(t^2 - b) * dt.

    I tried combining to (t^4 -bt^2 - at^2 + ab) but this didn't give me much.
    hi warton,.
    now you only need to integrate it using the integral formula for polynomial,

    \int t^n ~dt = \frac{1}{n+1} t^{n+1}, as long as n \not = -1
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  4. #4
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    Quote Originally Posted by dedust View Post
    hi warton,.
    now you only need to integrate it using the integral formula for polynomial,

    \int t^n ~dt = \frac{1}{n+1} t^{n+1}, as long as n \not = -1
    Actually, Its name is "Power Rule".
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