Hi!! I have two problems that I'm trying to solve, I've found the solution to the first one, but have no idea how to show work for it!!! Please help if you can!!!!
1) (x^2)/(x+1) dx
2) cos(x)2^(sin(x)) dx
Hi!! I have two problems that I'm trying to solve, I've found the solution to the first one, but have no idea how to show work for it!!! Please help if you can!!!!
1) (x^2)/(x+1) dx
2) cos(x)2^(sin(x)) dx
note that $\displaystyle \frac {x^2}{x + 1} = \frac {x^2 - 1 + 1}{x + 1} = \frac {x^2 - 1}{x + 1} + \frac 1{x + 1} = x - 1 + \frac 1{x + 1}$
and you should be able to integrate that
do a substitution of $\displaystyle u = \sin x$, you will end up with $\displaystyle \int 2^u~du$ which you should be able to handle. then just back-substitute when done
2) cos(x)2^(sin(x)) dx