integration helpppppp

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February 26th 2008, 12:46 PM
simsima_1

integration helpppppp

$<br /> <br /> \int sin{^2}(x)cos{^4}(x)<br /> <br />$

i did it all the way to

$<br /> <br /> \frac {1}{8} \int sin{^2}(2x)+sin{^2}(2x)cos(2x)<br /> <br />$

then i split it up and have no idea what happens next...
February 26th 2008, 12:49 PM
Jhevon

Quote:

Originally Posted by simsima_1

$<br /> <br /> \int sin{^2}(x)cos{^4}(x)<br /> <br />$

i did it all the way to

$<br /> <br /> \frac {1}{8} \int sin{^2}(2x)+sin{^2}(2x)cos(2x)<br /> <br />$

then i split it up and have no idea what happens next...

hopefully your last line is right, i didn't check. it looks a little fishy to me.

anyway, note that $\sin^2 2x = \frac {1 - \cos 4x}2$ . so you can easily integrate the first part

for the second part, use the substitution $u = \sin 2x$

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