# Use trigonometric substitution to find the following integral. integral {(x - 3)^3} / {square...

## Question:

Use trigonometric substitution to find the following integral.

{eq}\displaystyle \int \dfrac {(x - 3)^3} {\sqrt {x^2 - 6 x}}\ dx {/eq}

## Trigonometric Substitution:

Trigonometric substitution is used to solve definite integrals that contain sum and differences of squares where one of the terms is a function of the independent variable. A variable change is introduced that involves a trigonometric function, the integral is solved and finally, identities are used to return to the original variable.