Question

Help : Integration!

Answer 1

\[\int\limits_{\frac{ \Pi }{ 3 }}^{\frac{ \Pi }{ 2 }} \cos ^{3} \theta \]

Answer 2

cos ^3 x dx limits : Pi/3 and Pi/2 ..

Answer 3

probably write as \(\cos^2(x)\cos(x)\) and then as
\[(1-\sin^2(x))\cos(x)\] and a u - sub will get it

Answer 4

ok let me try thanks :)

Answer 5

@hartnn can you complete this question i did not get the right final answer :S

Answer 6

@thomaster

Answer 7

@mathstudent55

Answer 8

u=sin x
when x= pi/2, u =... ?
when x=pi/3, u= ...?

Answer 9

1

Answer 10

root 3 /2

Answer 11

AND THE FUNCTION TO INTEGRATE IS JUST 1-u^2

Answer 12

\(\large \int \limits_{\sqrt3/2}^{1}1-u^2 du =...?\)

Answer 13

oh! limits...

Answer 14

yup, always remember to change the limits while doing a substitution

Answer 15

thank you so much :D !

Answer 16

welcome ^_^