Cal BC Help!

Test Preparation AP Test Preparation
1

<p>Integrate: <a href="dx">(1/3)(2sin(x))^3</a>
I now I need a cos(x) to make the trig integration possible; any idea how to do it?</p>

<p>Similar questions:
1) integrate: [(cos(2x))^2]dx?
2) integrate: [sin(x)x(dx)]dx?</p>

<p>Any suggestions will be so much appreciative; thanks!</p>

2

<p>This is what you do:
factor out coefficents and placed outside integral: 8/3
(sinx)^3= (sinx)(1-(cosx))^2= sinx-sinx(cosx)^2
8/3Integral(sinx)- 8/3Integral(sinx(cosx)^2)</p>

<p>You can solve from here.</p>