Hi, I was wondering if it's possible to find the integrals of these using traditional methods:

$\displaystyle \int x^x dx$

and

$\displaystyle \int \frac{1}{3x^2 + 7} dx$

Another question I have is about definite integrals. When you pull a constant to the left of the integral, do you have to multiply the constant by each function or just to the final answer? For example:

$\displaystyle \int_{0}^{10}{30x}dx$

$\displaystyle 30\int_{0}^{10}{x}dx$

$\displaystyle 30 * \frac{1}{2}x^2 = 15x^2$

$\displaystyle 15(10)^2 - 15(0)^2$

Did I do that right?