How do you integrate int x / sqrt(-x^2+4x) dx using trigonometric substitution?
1 Answer
Mar 23, 2016
Explanation:
Consider that
Then
And
Rewriting the expression
Making
The expression becomes
=int (2siny*2cosy)/sqrt(4-(2siny)^2)dy
=int (4siny*cancel(cosy))/(2cancel(cosy))dy
=-2cos y+const.
But
So the result is