Hey guys, how would you do these? For all of these I can't figure out a way to cancel out the x's after I find u and du.

(x+1)^3/(x^2)dx

(x+1)/(x^2) dx

1/(1+4(x^2)) dx

x(x-10)^10 dx

(cosx)/(1+(sinx)^2) dx

(1+tanx)^3/(cosx)^2

Thanks :)

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- Jan 7th 2010, 01:34 PMali2141U-Substitution Integrals
Hey guys, how would you do these? For all of these I can't figure out a way to cancel out the x's after I find u and du.

(x+1)^3/(x^2)dx

(x+1)/(x^2) dx

1/(1+4(x^2)) dx

x(x-10)^10 dx

(cosx)/(1+(sinx)^2) dx

(1+tanx)^3/(cosx)^2

Thanks :) - Jan 7th 2010, 01:40 PMDrexel28
- Jan 7th 2010, 01:42 PMpickslides
- Jan 7th 2010, 01:43 PMadkinsjr
- Jan 7th 2010, 01:56 PMali2141
I was trying to use u-substitution.

Wait, so you mean do: x^3/x^2 + 3x^2/x^2 + 3x/x^2 + 1/x^2 ?

What would be the answer to that then? - Jan 7th 2010, 02:12 PMadkinsjr
- Jan 7th 2010, 02:20 PMali2141
No, I get that if you have x^3, the antiderivative would be x^4/4

But I don't know how that would apply to something like x^3/x^2 - Jan 7th 2010, 02:24 PMpickslides
- Jan 7th 2010, 02:26 PMali2141
oh wow. (Headbang)

okay, i feel like an idiot now. - Jan 7th 2010, 03:22 PMTWiX
- Jan 7th 2010, 03:39 PMProve It
- Jan 7th 2010, 03:46 PMTWiX
- Jan 7th 2010, 03:48 PMProve It
- Jan 7th 2010, 03:51 PMProve It
- Jan 8th 2010, 09:10 AMroshanhero
I am sorry but shouldnot there have been