Integral Help

Question

Evaluate the integral. Assume that A is a real number and that A < 0.

 

integrate 8/(x-2)^4 from 0 to A

Answer 1

This is an interesting function, as it has a singularity at x=2. But, at 0, the value is 1/2, and it is smooth from 0 to - infinity, where it goes to 0. So, you can integrate it directly from 0 to A, where A<0. It is more interesting if A> 0.

 

However, since the integral of (x-2)-4 is -5(x-2)-5, it should be straight forward.