Let for a differentiable function

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

Problem

Let

g(x)=\int_{1}^{x} f(t)\,dt

for a differentiable function

f

. Which of the following is equal to

g''(x)

? (a)

f(x)

(b)

\displaystyle\int_{1}^{x} f'(t)\,dt

(c)

f'(x)

(d)

f(x)-f(1)