Thread: integral problem

If h(x)=dg(x)/dx is integrable on the closed interval [a,b], then the integral from a to b of g(x)h(x)dx = ? and it must be in terms of f, g, a, and b

Originally Posted by chaddy

If h(x)=dg(x)/dx is integrable on the closed interval [a,b], then the integral from a to b of g(x)h(x)dx = ? and it must be in terms of f, g, a, and b

note that if , then

Thus, using integration by parts, taking and , we have:



i leave the rest to you