Solve for the Antiderivative of e^5x^2 using Integration Tables"

[relskid]

Homework Statement

use integration tables to find:

$$\int\frac{\(36t^8}{1+sin(t^9)}dt$$

Homework Equations

the closest ones i could find:

$$\int\frac{\(u^2}{a+bu}du = \frac{\(1}{b^3}[\frac{\-bu}{2}(2a-bu) + (a^2)ln|a+bu|]$$

and

$$\int\frac{\(1}{1+sinu}du = tanu - secu + C$$

The Attempt at a Solution

i just don't know where to even begin.

Homework Statement

just another quick question:

what is the antiderivative of e^5x^2 ?

looks like this:

 

[HallsofIvy]

I'm not exactly sure if it is entirely "using integration tables" but if you make the substitution u= x⁹ so that du= 9 x⁸dx you get a form where you can use the second of your integrals.

$$e^{5x^2}$$ does not have an "elementary" anti-derivative. It can be written in terms of the "error function"
Erf(x).