Integration

posim

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Joined
Nov 1, 2011
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4
Can anyone help me with this?
I need to integrate sin(sqrt x) / sqrt x
a= 0+ and b= pi^2
The sqrt and pi^2 is confusing me..
 
Use u-substitution. Let \(\displaystyle u=\sqrt{x}\) then go from there.

The \(\displaystyle \pi^2\) is just a number like anything else.
 
Im newbie but sin ln (sqrt x) + C is my guess :p

Not quite.

\(\displaystyle u=\sqrt{x}\)

\(\displaystyle du=\frac{1}{2\sqrt{x}}dx\)

\(\displaystyle dx=2\sqrt{x}du\)

Rewrite the integral in terms of "u" (and change the integral limts to reflect what "u" equals) and the go from there.

Can you take it from there????
 
Im newbie but sin ln (sqrt x) + C is my guess :p
my answer was close to this also.

mmmmm
x= pi^2 u = sqrt pi^2 = pi
x= 0+ = sqrt 0 =0

(sin/u)du = [sin ln |u| ] pi 0
= sin ln pi - sin ln 0
baaah
 
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