Question

can you help me with this integral?

Answer 1

\[\int\limits x^{3} e ^{x ^{2}}\]

Answer 2

and dv is't \[ex ^{x ^{2}} dx\]

Answer 3

u= x^2 du= 2x itns'?

Answer 4

\[\int\limits x ^{3}e ^{x ^{2}} dx\]

Answer 5

now do the u-sub as suggested by minra... what u got?

Answer 6

sorry.. as suggested by primeralph...

Answer 7

hey dpalnc can u help me

Answer 8

u= x^2 du = 2x dx

Answer 9

maybe u need to see the problem written this way:
\(\large \int x ^{3}e ^{x ^{2}} dx=\int x \cdot x^2 e^{x^2}dx \)

so doing the u-substitution u=x^2

\(\large \int x \cdot x^2 e^{x^2}dx = \int u e^u \frac{1}{2} du = \frac{1}{2} \int u e^u du \)

now that last integral needs to be solved by integration by parts....