Which of the following expressions represents the area bounded by the curve (with )…

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

Problem

Which of the following expressions represents the area bounded by the curve

y=f(x)

(with

f(x)\ge 0

) and the

x

-axis from

x=a

x=b

? (a)

\displaystyle \int_{a}^{b} f(x)\,dx

(b)

\displaystyle \int_{b}^{a} f(x)\,dx

(c)

f(b)-f(a)

(d)

\displaystyle \int_{a}^{b} f'(x)\,dx