Let (f(x)=ax^ 2 ) and (F(x)= f(x) ,dx )

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

Problem

Let

f(x)=ax^{2}

and

F(x)=\displaystyle\int f(x)\,dx

. If

F(1)=4

and

F(2)=25

, find the value of

a

. (a)

8

(b)

9

(c)

6

(d)

12