- #1
stanners
- 11
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integration problem :(
int from 1 to 1/4 of [cos(pi*sqrt(t))] / sqrt(t) dt
I tried using integration by parts
used u = cos pi (sqrt(t)) and dv = sqrt(t), but got a really messy number as int of vdu
so I tried u = sqrt t, du = 1/2sqrt(t)
dv = cos pi*sqrt(t) , v = sin pi sqrt(t) * pi/2sqrt(t)
So This doesn't seem right, how would I approach this problem?
Homework Statement
int from 1 to 1/4 of [cos(pi*sqrt(t))] / sqrt(t) dt
Homework Equations
The Attempt at a Solution
I tried using integration by parts
used u = cos pi (sqrt(t)) and dv = sqrt(t), but got a really messy number as int of vdu
so I tried u = sqrt t, du = 1/2sqrt(t)
dv = cos pi*sqrt(t) , v = sin pi sqrt(t) * pi/2sqrt(t)
So This doesn't seem right, how would I approach this problem?