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March 26, 2017

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find the following integral
dx/(25+(x-5)^2)

yes this.

  • integral - ,

    The integral(u' / (a^2 - u^2)) = 1/a(atan(u/a)) +C

    let u = x-5
    du = dx

    and let a = 5

    So the answer is 1/5 (atan((x-5)/5)) +C

    Note: atan = arctangent

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