Example of Integration By Parts
Integration Problem:
Evaluate
where
u = x
dv = cos x dx
du = dx
v = sin x
Answer:
= x sin x – ( – cos x ) + c
= x sin x + cos x + c
Integration Problem:
Evaluate
where
u = x
dv = cos x dx
du = dx
v = sin x
Answer:
= x sin x – ( – cos x ) + c
= x sin x + cos x + c