Ask your own question, for FREE!
Mathematics 44 Online
OpenStudy (anonymous):

How do I integrate sin^{2} x

OpenStudy (lalaly):

First convert sin-squared-x to its double-angle identity: 1/2[1-cos(2x)] Then integrate that expression by conventional methods to obtain the answer: x/2 - sin(2x)/4

OpenStudy (anonymous):

sin ^2 x = (1 - cos2x) / 2

OpenStudy (anonymous):

Thanks

OpenStudy (anonymous):

And cos^{2} x =1/2(cos(2x)+1) is that right

OpenStudy (lalaly):

yepp thats right

OpenStudy (anonymous):

Thanks

OpenStudy (lalaly):

:):)

OpenStudy (anonymous):

hi eliza, they may have forgotten the integral of dx=x so integral of sin^{2} x dx =integral of (1/2)(1-cos2x)dx = (1/2)(x-sin2x) +C

OpenStudy (anonymous):

integral of sin^{2} x dx =integral of (1/2)(1-cos2x)dx = (1/2)(x-sin2x) +C answer....

OpenStudy (anonymous):

did you get it eliza?

OpenStudy (anonymous):

therefore integral of sin^{2} x dx =integral of (1/2)(1-cos2x)dx = (1/2)(x-sin2x) +C or =(1/2)(x-2sinxcosx)+C or =(x/2 - sinxcosx)+C ans....

OpenStudy (anonymous):

Thanks yeah sorry I know how to integrate by parts I was just being silly and forgetting the other identity

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
Alexis1415: What are some pills I could take for heart and liver pains?
1 hour ago 0 Replies 0 Medals
Bones: Matching pfps @alexis1415
3 hours ago 37 Replies 3 Medals
Kaydi: Why won't my computer let me zoom in
7 hours ago 0 Replies 0 Medals
Jesslovesjess: My cramps are slowly killing me
2 hours ago 14 Replies 3 Medals
brianagatica14: Look at my view from my alley....
6 hours ago 7 Replies 3 Medals
Coco233: what do I do if I'm still inlove but he isn't ?
4 hours ago 1 Reply 0 Medals
WalmartBag: dies
1 hour ago 23 Replies 1 Medal
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!