Question

Integral sin(2x) (cos(x))^2 dx
Substitution rule o by parts ?

Answer 1

sin(2x)=2sin(x)cos(x)
use this

Answer 2

\[2 \int\limits_{}^{}\sin(x)(\cos(x))^3 dx\]

Answer 3

use sub
u=cos(x)

Answer 4

let me know if you need more help

Answer 5

thx a lot

Answer 6

great! you got the rest? :)

Answer 7

yeah i guess

Answer 8

ok well just let me know if you run into troubles

Answer 9

k

Answer 10

the solution is -1/2cos^4 (x) +c

Answer 11

\[u=\cos(x)\]
=>
\[ du=-\sin(x) dx\]


\[-2 \int\limits_{}^{} u^3 du=-2 \cdot \frac{u^4}{4}+C=-\frac{1}{2} u^4+C=-\frac{1}{2}\cos^4(x)+C\]

Answer 12

yes thats right! :)

Answer 13

thx

Answer 14

gor the help

Answer 15

for+*