## Whimsical how do you integrate (sin(x))^2 without using the trigo identity cos(2x)=1-2(sin(x))^2 one year ago one year ago

1. Aamal

can we there use anyother trigo identity

2. Whimsical

erm... u cant use any trigo identity or integrating it by parts

3. Aamal

yeah integraion by parts give our result

4. brinethery

Maybe U-substitution for this one?

5. Whimsical

is it impossible to integrate this without using trigo identity or intergration by parts? can we use chain rule and integrate it into $-1/3\cos^3(x)$

6. brinethery
7. Whimsical

ok i understand now thankyou

8. brinethery

You can also use the good ol' table of integrals but I'm sure your teacher doesn't want that. http://integral-table.com/integral-table.html#SECTION00007000000000000000