Which definite integral represents the exact area of the region bounded by the graph of

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Integrals · Applications of Integrals

Problem

f(x)=3x+1

, the

x

-axis, and the vertical lines

x=0

and

x=2

? (a)

\displaystyle \int_{2}^{0} (3x+1)\,dx

(b)

\displaystyle \tfrac12\displaystyle \int_{0}^{2} (3x+1)\,dx

(c)

\displaystyle \int_{0}^{2} (3x+1)\,dx

(d)

\displaystyle \int_{0}^{2} (3x+1)\,dx + C