Let , where and are constants. If _ 0 ^ 1 f(x) ,dx = 4 and _ 0 ^ 2 f(x) ,dx = 10,…

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

Problem

Let

f(x)=ax+b

, where

a

and

b

are constants. If

\int_{0}^{1} f(x)\,dx = 4 \quad \text{and} \quad \int_{0}^{2} f(x)\,dx = 10,

what is the value of

a

? (a)

2

(b)

1

(c)

4

(d)

3