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Calculus

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For the following integral find an appropriate TRIGONOMETRIC SUBSTITUTION of the form x=f(t) to simplify the integral.

INT (x)/(sqrt(-191-8x^2+80x))dx

x=?

  • Calculus - ,

    The integral will be of the form
    (y+5)/sqrt(a^2-y^2)
    if you complete the square of the expression under the square-root sign using
    y=x-5, or x=y-5
    That will reduce the given integral to two simpler ones.

  • Calculus - ,

    sint

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