For a non-negative continuous function on

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

Problem

For a non-negative continuous function

f(x)

[a,b]

, the area of the region bounded by

y=f(x)

, the

x

-axis, and the lines

x=a

and

x=b

is represented by (a)

(b-a)\,f\!\left(\dfrac{a+b}{2}\right)

(b)

\displaystyle \int_a^b f'(x)\,dx

(c)

\displaystyle \int_b^a f(x)\,dx

(d)

\displaystyle \int_a^b f(x)\,dx