Integrate 4X e^(X^2) using substitution 'u = X^2'?

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2007-10-08 08:06:32 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

Yes.
u = x^2
du = 2xdx
2du = 4xdx
2du*e^u
2e^u
2e^(x^2)

2007-10-08 08:10:46 · answer #1 · answered by mathguru 3 · 0⤊ 0⤋

I = â« (4 x) e ^( x Â² ) dx
Let u = x Â²
du = 2 x dx
2 du = 4 x dx
I = 2 â« e^(u) du
I = 2 e^u + C
I = 2 e^( x Â² ) + C

2007-10-08 22:41:35 · answer #2 · answered by Como 7 · 0⤊ 0⤋

I'll go wiyh Mathguru cause ain't got a clue about symbols on computer!

2007-10-08 08:15:59 · answer #3 · answered by SKIN 2 · 0⤊ 0⤋