Thread: integrals with trig

Help with this integral:
integral of tcost - sin^2t + cost dt

Mostly I just don't understand the tcos(t) part. How do you take the integral of that.. the rest I understand.

So that's:



Try integration by parts for the first integral and a half-angle identity for the second.

Parts:

Originally Posted by s7b

Help with this integral:
integral of tcost - sin^2t + cost dt

The integral can be split into 3 separate integrals:

The first integral is easily done by parts:

Originally Posted by s7b

Mostly I just don't understand the tcos(t) part. How do you take the integral of that.. the rest I understand.

Integrate by parts

and



don't forget that the formula is

integrate tcos(t) by parts---do you know the integration by parts formula?

If not use a table of integrals the integral is tsin(t) + cos(t)