<p>Could anyone help me with intergrating this function by hand:</p>
<pre><code>X^(1/3)*cos(X^(4/3)-8)dx
</code></pre>
<p>ITS U SUBSTITUTTION TIME!
pick u=x^(4/3)-8
so du=(4/3)x^(1/3) dx
so dx= du/(4/3)x^(1/3)
so it turns out to be (3/4)<em>cos u du
then of course the integration is (3/4)</em>sin u
which actually means (3/4)*sin (x^(4/3)-8)
viola! (takes a bow)</p>
<p>It's "integrate." </p>
<p>IN-TE-GRATE. Sound it out.</p>