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anonymous
 5 years ago
I have some problem with integration techniques. how can you integrate e^(x^2)*x? I tried integration by parts but it does not work. Also I have a problem integrating (2+x^3)^(1/2)*x^2. Thanks!
anonymous
 5 years ago
I have some problem with integration techniques. how can you integrate e^(x^2)*x? I tried integration by parts but it does not work. Also I have a problem integrating (2+x^3)^(1/2)*x^2. Thanks!

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0For the first one, I think you want to try a usubstitution with u=x^2. For the second, I think you should try a usub with u=2+x^3.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0(S) x e^x^2 dx if u = x^2 then du = 2x dx... dx = du/2x we already have an "x" in the integral, we need a 2 in there without changing the value.. so multiply the whole thing by 2/2. (1/2) (S) 2x e^x^2 dx (1/2) e^x^2 +C

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah as Quantum said, both can be integrated using substitution technique.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0(S) (2+x^3)^(1/2)*x^2 dx if u = 2+x^3 ; then du = 3x^2 we need a 3x^2 in the integral to work with; so multiply by 3/3 and just set the (1/3) outside. (1/3) (S) 3x^2 (2+x^3)^1/2 dx 1 2(2+x^3)^(3/2) +C   3 3 (2/9) (2+x^3)^(3/2) + C looks about right...
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