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Mathematics 17 Online
OpenStudy (anonymous):

Integrals! PLEASE HELP SOS

OpenStudy (anonymous):

\[\int\limits xsin^2(x)\]

OpenStudy (irishboy123):

sin^2 (x) is a pain. so use a double angle formula and get it into cos(2x) c plus whatever. from there, do it by parts, making sure you differentiate the x and integrate the trig function.

OpenStudy (anonymous):

how to get it into cos2s @IrishBoy123 ?

OpenStudy (anonymous):

cos2x

OpenStudy (irishboy123):

the double angle formulae are your friend in this case: cos (2x) = cos^2 (x) - sin^2 (x) = 1 - 2 sin^2 (x) so sin^2 (x) = (1/2) { 1 - cos (2x) } you really need to know these working at the level you are at. then just multiply this into your integral and it will immediately look easier. then just churn out the integration by parts.

OpenStudy (anonymous):

I got exemptions from last year, you're right, it's just been a while

OpenStudy (anonymous):

thanks allot!!!!

OpenStudy (irishboy123):

you'll be back in the saddle in no time. good luck!

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