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Math Help - Pretty simple Calculus questions

  1. #1
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    Pretty simple Calculus questions

    Hello. First post on this forum. I have an assortment of questions, hope somebody can help me.
    first: \int \frac{1}{x^3+x} dx

    second: \int \sqrt{1-x^2} dx

    third: \int \frac{1}{ sin^2 cot^3} dx

    a hand on these will be very appreciated
    Last edited by Corum; January 6th 2010 at 03:02 PM. Reason: LaTeX
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  2. #2
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    Quote Originally Posted by Corum View Post
    Hello. First post on this forum. I have an assortment of questions, hope somebody can help me.
    first: \int_ (1/x^3+x) dx

    second: \int (1-x^2)^(1/2)dx (that's trying to be a sqr root)

    third: \int(sin^-3 x / cot^3) dx

    \int \frac{1}{x(x^2+1)} \, dx

    partial fractions


    \int \sqrt{1-x^2} \, dx

    try a trig sub ... x = \sin{\theta}


    \int \frac{\sin^{-3}{x}}{\cot^3{x}} \, dx<br />

    use a some trig identities ...

    \frac{\sin^{-3}{x}}{\cot^3{x}} = \sec^3{x}

    \int \sec^3{x} \, dx

    use parts ... u = \sec{x} , dv = \sec^2{x} \, dx
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