<p>Hi guys...I have the calc final tomorrow and Im doing great on everything EXCEPT
integration by u substitutions...anybody help me with this example":</p>
<p>integral of (sin^5)x cosx dx</p>
<p>To do u substitution, you need to find the u and du that match the integral statement you have. In this case,</p>
<p>"integral of (sin^5)x cosx dx"</p>
<p>u = sinx, du = cosx dx</p>
<p>Hence, your above statement is equal to:</p>
<p>integral of u^5 du</p>
<p>Antidifferentiate that to get:</p>
<p>(1/6)u^6 and then plug u back in.</p>
<p>FINAL ANSWER: (1/6)(sin^6)x + C</p>
<p>Hopefully that makes sense.</p>
<p>sweet man that makes things much simpler,ty</p>