Question

Trigonometric Integrals
\[\int\limits_{}^{}\cos ^{2}\theta \sin \theta \]

Answer 1

put u = cos thetha

Answer 2

du = ...?

Answer 3

-sin t

Answer 4

du = -sin t dt
so,
-du = sin t dt

Answer 5

integral u^2 (-du)
piece of cake :)

Answer 6

I'm sorry I meant.
\[\int\limits_{}^{}\cos ^{2}\theta \sin2\theta \]
Is it still the same process Or is it different now

Answer 7

write sin 2t = 2 sint cost
then put u= sin t

Answer 8

sorry, u= cos t

Answer 9

so iis it -1/2cos^4t

Answer 10

-2 integral u^3du
-2/4 u^4 +c
-1/2 (cos^4 t) +c
yup, correct :)

Answer 11

thanks so much for your help

Answer 12

welcome ^_^