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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(8x^2-64x+120))dx

x=?

  • Integrals - ,

    You could try the similar technique as:
    http://www.jiskha.com/display.cgi?id=1260825344

    In this case, it is a multiplication, so the result is slightly different.
    However, after completing the squares, you will get the form
    let y=x-4, x=y+4
    (1/√8)(y+4)*sqrt(y^2-1)
    which should still be mangeable.

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