# Integrate

• Apr 15th 2009, 02:15 PM
WhoCares357
Integrate
$\int-(t+1)(sin(t^2/2))dt$
$-\int(t * sin(t^2/2) + sin(t^2/2))dt$

We've only learned "u" substitution so I can't integrate this one. Can anyone link me to a tutorial that would explain how to integrate the problems that can't be done with "u" substitution?

Or a process to work this one would even be appreciated.

Thanks for any help.
• Apr 15th 2009, 02:17 PM
Jhevon
Quote:

Originally Posted by WhoCares357
$-(t+1)(sin(t^2/2))dt$

We've only learned "u" substitution so I can't integrate this one. Can anyone link me to a tutorial that would explain how to integrate the problems that can't be done with "u" substitution.

Or a process to work this one would even be appreciated.

Thanks for any help.

was this the given integral, or were you trying to compute something that resulted in this integral? so we don't have to do a crazy integral if we don't have to (this does not have an integral in elementary functions)
• Apr 15th 2009, 02:23 PM
WhoCares357
Quote:

Originally Posted by Jhevon
was this the given integral, or were you trying to compute something that resulted in this integral? so we don't have to do a crazy integral if we don't have to (this does not have an integral in elementary functions)

That's the derivitive (velocity). I have to find the position function. They gave me starting conditions, so I can find "c" but I don't know how to integrate this.
• Apr 15th 2009, 02:25 PM
Jhevon
Quote:

Originally Posted by WhoCares357
That's the derivitive (velocity). I have to find the position function. They gave me starting conditions, so I can find "c" but I don't know how to integrate this.

that is exactly how the problem was phrased? it gave that function exactly?

i am sorry, but if all you've learned is integration by substitution, you cannot do this (the "+1" made sure of that). type out the original problem in its entirety please
• Apr 15th 2009, 02:33 PM
WhoCares357
Quote:

Originally Posted by Jhevon
that is exactly how the problem was phrased? it gave that function exactly?

i am sorry, but if all you've learned is integration by substitution, you cannot do this (the "+1" made sure of that). type out the original problem in its entirety please

Question 2, d.

http://img24.imageshack.us/img24/4773/32052565.jpg

Note that this isn't exactly a "class test". This is just practice for the AP test, so I'm not expected to only use u substitution for this.
• Apr 15th 2009, 02:56 PM
Jhevon
Quote:

Originally Posted by WhoCares357
Question 2, d.

Note that this isn't exactly a "class test". This is just practice for the AP test, so I'm not expected to only use u substitution for this.

you mean 2, c don't you? well, either this is a typo or AP calc is getting a whole lot harder. this is not a nice integral.
• Apr 15th 2009, 03:41 PM
WhoCares357
Quote:

Originally Posted by Jhevon
you mean 2, c don't you? well, either this is a typo or AP calc is getting a whole lot harder. this is not a nice integral.

c and d both require an integration, yes.

And what does the S stand for in the Wolfram link?
• Apr 15th 2009, 03:43 PM
Jhevon
Quote:

Originally Posted by WhoCares357
c and d both require an integration, yes.

And what does the S stand for in the Wolfram link?

see the footnote: http://integrals.wolfram.com/Integra...reType=GIF&s=2: FresnelS[x]: Fresnel integral [properties]
• Apr 15th 2009, 03:50 PM
WhoCares357
Okay, thanks for the help.