Homework Help: Calculus

Posted by Salman on Monday, December 14, 2009 at 4:15pm.

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 - MathMate, Monday, December 14, 2009 at 11:28pm
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.

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