Can someone help me with this question. I'm not sure how to go about it.

Question

Find the antiderivative of
f(x)=2x^3+2x+4

Thanks.

Answer 1

for simple polynomial functions such as this, just integrate each term

so the integral of 2x^3+2x+4
is (2/3)x^3 + x^2 + 4x + C, where C is a constant.

always check your answer by differentiating it, in our case we get back the original expression.