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Thread: Integrals and Derivatives

  1. #1
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    Integrals and Derivatives

    (a) Integral from pi/6 to pi/4 of tan(x)e^(sec(x))sec(x)dx

    (b) integral from x=0 to ln(2) of (e^2x)/(1+e^x)dx

    (c) antiderivative of 1/(a+b sqrt(x))dx

    (d) antiderivative of (ln(x))^2 x
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  2. #2
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    Re: Integrals and Derivatives

    Quote Originally Posted by Headinthesand View Post
    (a) Integral from pi/6 to pi/4 of tan(x)e^(sec(x))sec(x)dx

    use the substitution ... u = sec(x)

    (b) integral from x=0 to ln(2) of (e^2x)/(1+e^x)dx

    use the substitution ... u = 1+e^x

    (c) antiderivative of 1/(a+b sqrt(x))dx

    I'd try the substitution u = sqrt(x)

    (d) antiderivative of (ln(x))^2 x

    try the substitution u = ln(x) ... x = e^u
    looks like integration by parts after that
    comments above
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