How do you find the integral of (2x-3)/((9-x^2)^0.5)dx?
1 Answer
Explanation:
Start off by rewriting as follows
For the first integral we use a u substitution
Let
Make the substitution
Integrating we have
Back substituting for u
For the second integral we will use a trigonometric substitution
Let
Make the substitution
Integrating we get
Now
So we have
Putting the two results together we have