Question

Question #e251c

Answer 1

I tried this:

Explanation:

`int(4e^t+3)dt=int4e^tdt+int3dt=4e^t+3t+c`

`int(2/x^2+5sqrt(x))dx=int2x^-2dx+int5x^(1/2)dx=2x^-1/(-1)+5(x^(3/2))/(3/2)+c=-2/x+10/3xsqrt(x)+c`

I used the fact that:
`intx^ndx=x^(n+1)/(n+1)+c`

and:

`x^-n=1/x^n`

`x^(m/n)=rootn(x^m)`