Thread: [SOLVED] Integration?

If ω = 2π/T then 1/T ∫ from 0 to T of 1/2*m*ω^2*A^2*cos^2 ωt dt=?

A)1/2 m*ω^2*A^2
B) zero
C) 1/4 mω^2 A^2
D) 1

I got B) zero as the answer.
Is it correct?

Originally Posted by fardeen_gen

If ω = 2π/T then 1/T ∫ from 0 to T of 1/2*m*ω^2*A^2*cos^2 ωt dt=?

A)1/2 m*ω^2*A^2
B) zero
C) 1/4 mω^2 A^2
D) 1

I got B) zero as the answer.
Is it correct?

i am pretty sure B) is wrong. running it through in my head (not sure how confident you want to be in that ) i got C)

do you get zero when you do ? nope. so the answer can't be zero

Originally Posted by fardeen_gen

If ω = 2π/T then 1/T ∫ from 0 to T of 1/2*m*ω^2*A^2*cos^2 ωt dt=?

A)1/2 m*ω^2*A^2
B) zero
C) 1/4 mω^2 A^2
D) 1

I got B) zero as the answer.
Is it correct?

I get c, I am not sure how you would get zero for this answer.

What is ? I dunno...

Originally Posted by fardeen_gen

What is ? I dunno...

So we have

Originally Posted by Mathstud28

...

Aha! you remembered!

Originally Posted by Jhevon

Aha! you remembered!

I can't believe you got that