Question

what should have been a simple Integration problem...

Answer 1

\[\int\limits_{?}^{?}x ^{2}\sqrt{1+2x}dx\]

Answer 2

I have tried substitution by letting u = 1 + 2x, then \[\frac{ du }{ dx }=2\], then du = 2dx

Answer 3

but then my x = \[\frac{ u-1 }{ 2 }\]

Answer 4

Maybe induction by change of variable isnt the right approach?

Answer 5

You could probably do this one by parts,
But the way you're doing it sounds ok so far :D let's see if it gives us any trouble.

Answer 6

Is \[\int\limits_{?}^{?}x ^{2}\sqrt{1+2x}dx == \int\limits_{?}^{?}x ^{2} * \int\limits_{?}^{?}\sqrt{1+2x}\]