Question

How do you find the integral of `(7x^(3) -5) (2x^(2) +9) dx`?

Answer 1

You can multiply the two brackets to get:
`int(14x^5+63x^3-10x^2-45)dx=`
and integrate, separating each term of your integral as a single integral (integral of a sum/difference is equal to the sum/difference of integrals) and using the fact that: `intkx^ndx=kx^(n+1)/(n+1)+c` where `k` is a constant and that `intkdx=kx+c`