Ask your own question, for FREE!
Mathematics 48 Online
OpenStudy (anonymous):

find the exact area under f(x)=x+cosx on [0,pi]

OpenStudy (anonymous):

integrate

OpenStudy (anonymous):

Answer:Pi^2/2

OpenStudy (anonymous):

the cosine function at 0 takes value of 1 and at pi takes -1 so the area under f(x)=cosx from 0 to pi is 0 now you only need to get the f(x)=x from 0 to pi and that is just a triangle you dont even need integration .-)

OpenStudy (anonymous):

yes it is \[\frac{\pi^2}{2}\]

OpenStudy (anonymous):

\[\int_0^{\pi} x + \cos(x)dx\] \[F(x)=\frac{x^2}{2}-\sin(x)\] \[F(\pi)-F(0)=\frac{\pi^2}{2}\]

OpenStudy (anonymous):

I prefer my solution :-)

OpenStudy (anonymous):

yes snappier

OpenStudy (anonymous):

Moral: always draw a rough diagram first, to see what's going on

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
Bones: Matching pfps @alexis1415
1 hour ago 37 Replies 3 Medals
Kaydi: Why won't my computer let me zoom in
6 hours ago 0 Replies 0 Medals
Jesslovesjess: My cramps are slowly killing me
1 hour ago 14 Replies 3 Medals
brianagatica14: Look at my view from my alley....
4 hours ago 7 Replies 3 Medals
Coco233: what do I do if I'm still inlove but he isn't ?
2 hours ago 1 Reply 0 Medals
WalmartBag: dies
2 hours ago 6 Replies 0 Medals
Obed55: I need serious relationship?
2 hours ago 24 Replies 3 Medals
WalmartBag: can someone pls give me a proxy
9 hours ago 11 Replies 3 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!