1. ## improper integral evaluation

Just a quick question. I have a calculus exam in two days and this was one of the sample exam questions. It's part of a section on differentiation through an integral sign.

I need to show that the integral from 0 to infinity of sin(x)/x dx = (pi/2).
I can't figure out the integral of sin(x)/x so how do I solve this?

2. Originally Posted by PvtBillPilgrim
Just a quick question. I have a calculus exam in two days and this was one of the sample exam questions. It's part of a section on differentiation through an integral sign.

I need to show that the integral from 0 to infinity of sin(x)/x dx = (pi/2).
I can't figure out the integral of sin(x)/x so how do I solve this?

I have seen this before.