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Math Help - Intergration....

  1. #1
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    Intergration....

    Intergrate....

    1. x + 2x^3 divided by (x^4 + x^2)^3 dx

    and

    2. sin^2 u divided by 1 + cos u du

    please help....
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  2. #2
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    Quote Originally Posted by sweetchocolat113 View Post
    Intergrate....

    1. x + 2x^3 divided by (x^4 + x^2)^3 dx

    and

    2. sin^2 u divided by 1 + cos u du

    please help....
    for the first let u=x^4+x^2 \mbox{ then } du=(4x^3+2x)dx=2(x+2x^3)dx

    for number 2)

    multiply by the conjugate of the denominator

    \int \frac{\sin^2(u)}{1+\cos(u)}\cdot \frac{1-\cos(u)}{1-\cos(u)}du=\int 1- \cos(u)du
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