Question

What is the antiderivative of `x^3 -14x^2 +22x +3`?

Answer 1

Knowing that, `inty^ndy=y^(n+1)/(n+1)+K, n!=-1`, we have,

`int(x^3-14x^2+22x+3)dx=intx^3dx-14intx^2dx+... ... ... +3intx^0dx`

`=x^4/4-14/3x^3+11x^2+3x+C`.