Let and the integral becomesHi everyone! Today we are asked in class to solve an integral in anyway that we know. The given integral is . She hints that it is possible to solve it using integration by parts, and I see that I might have to use tablature method to find the integral since I have to reduce to zero power. But I said, screw it! So I attempted to do it by doing somewhat partial fraction. So here's what I did:
1)I did a long division so that:
2)Turns out I don't have to solve for a partial fraction so:
3)So that if we integrate it, it becomes:
Is that solution good enough? Not really sure about it. Anyone got any ideas to evaluate the integral more efficiently? Thanks a lot in advance!