Reduction formula question from my trial (1 Viewer)

Hermes1 · Aug 4, 2011

$I_{n} = \int_{0}^{\pi }\frac{1-\cos nx}{1-\cos x}$

$\int_{0}^{\frac{\pi }{2}}\frac{\sin ^{2}3\theta }{\sin ^{2}\theta } = \frac{3\pi }{2}$

i dont no if u need the first part to do the second. for the second part it said also show....

Hermes1 · Aug 4, 2011

$\int_{0}^{\frac{\pi }{2}}\frac{\sin ^{2}3\theta +\cos ^{2}3\theta-(\cos ^{2}3\theta -\sin ^{2}3\theta ) }{\sin ^{2}\theta +\cos ^{2}\theta -(\cos ^{2}\theta -\sin ^{2}\theta )}d\theta$

the twos on the top cancel out so nothing needs to be taken out the front

then i changed it to:

$\int_{0}^{\frac{\pi }{2}}\frac{1-\cos 6\theta }{1-\cos 2\theta }d\theta$

was this on the right track?

XTsquared · Aug 4, 2011

Yes, then let 2@ = x (@ = theta)

2d@ = dx
@ = 0, x = 0
@ = pi/2 , x = pi

then work it out (it's in form of (1/2)I(3) half I three)

Hermes1 · Aug 4, 2011

XTsquared said:
Yes, then let 2@ = x (@ = theta)

2d@ = dx
@ = 0, x = 0
@ = pi/2 , x = pi

then work it out (it's in form of (1/2)I(3) half I three)

oh crap. i did something stupid in the exam and i said let k = n/2 or sumfin stupid. ur way looks right.

hup · Aug 5, 2011

Could you give the whole question? I want to try it

Hermes1 · Aug 5, 2011

hup said:
Could you give the whole question? I want to try it

when i get my paper back ill post the whole question. i just cant quite remember it fully.

Make a Difference – Donate to Bored of Studies!

Reduction formula question from my trial (1 Viewer)

Hermes1

Banned

Hermes1

Banned

XTsquared

Member

Hermes1

Banned

hup

Member

Hermes1

Banned

Users Who Are Viewing This Thread (Users: 0, Guests: 1)