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Jake
Jake asked in Science & MathematicsMathematics · 6 years ago

Calculus U-Substitution Help?

(cosx / (sin^(2)x) dx

I need to substitute to find the integral / antiderivative. Can anyone help me? I'm not sure which part of this would be u... and then how I substitute?

2 Answers

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  • xyzzy
    Lv 7
    6 years ago

    cos x / sin^2 x = csc x cot x

    ∫ csc x cot x dx= - csc x + c

  • Captain Matticus, LandPiratesInc
    Lv 7
    6 years ago

    u = sin(x)

    du = cos(x) * dx

    cos(x) * dx / sin(x)^2 =>

    du / u^2

    Integrate

    -1/u + C =>

    -1/sin(x) + C =>

    -csc(x) + C

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