Question

Integrate e^x^3

Answer 1

\[\Huge \int\limits_{}^{} e^{x^3} dx\]

Answer 2

@Jonask

Answer 3

@oldrin.bataku @zepdrix

Answer 4

\[e^u=\sum_0\frac 1{n!}u^n\]
\[e^{(x^3)}=\sum_0\frac 1{n!}x^{3n}\]
\[\int e^{(x^3)}=\int \sum_0\frac 1{n!}x^{3n}\]

Answer 5

let \[u=x^3,du=3x^2\]
\[\int e^{x^3}dx=\int e^u\frac{du}{3u^{\frac{2}{3}}}\]i think parts can work here

Answer 6

Seems so,but won't it be a little complicated?

Answer 7

well of course it will be... here we'll have to use the exponential integral

Answer 8

\[3\int\limits u^{-\frac{2}{3}}e^udu\]
well we can use the gamma function here

Answer 9

i mean \[\frac{1}{3}\]

Answer 10

Well if this is too advanced then ill close this for now,I'm not taught gamma function and exponential integration,I was just trying out these questions..

Answer 11

yes @Jonask the incomplete gamma function: http://en.wikipedia.org/wiki/Exponential_integral#Relation_with_other_functions

Answer 12

\[3\int\limits u^{-\frac{2}{3}}e^udu\]
well we can use the gamma function here