# Thread: Help w/ Trig Integrals

1. Let's see the second one, PH. But, be sure to go in slow, methodical, baby steps.

Speaking of which, can you recommend a good book on complex analysis from which I could learn more?.

2. ## clarify

all solutions are corect right?
$\displaystyle \int\sin{x}(1-\cos^2{x})\cos^3{x}dx$

$\displaystyle \int\sin{x}\cos^3{x} - \sin{x}\cos^5{x}dx$

$\displaystyle -\frac{1}{4}\cos^4{x} + \frac{1}{6}\cos^6{x}dx$

Edit wrong signs

3. $\displaystyle \int[sin^{3}(x)cos^{3}(x)]dx$

$\displaystyle \int[sin^{3}(x)(1-sin^{2}(x))cos(x)]dx$

$\displaystyle \int[(sin^{3}(x)-sin^{5}(x))cos(x)]dx$

$\displaystyle \frac{1}{4}sin^{4}(x)-\frac{1}{6}sin^{6}(x)+C$

4. Originally Posted by galactus
Let's see the second one, PH. But, be sure to go in slow, methodical, baby steps.

Speaking of which, can you recommend a good book on complex analysis from which I could learn more?.
It is a very long derivation. Instead you can go here and watch the proof.

As for the Complex Analysis book ask me in a PM.

5. Thanks, PH

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