Let . What is…

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Let

F(x)=\displaystyle\int_{x^{2}}^{3x} (t^{2}+1)\,dt

. What is

F'(x)

? (a)

27x^{2}+3+2x^{5}+2x

(b)

9x^{2}+1-2x^{5}-2x

(c)

27x^{2}+3-2x^{5}-2x

(d)

2x^{5}+2x-27x^{2}-3