For a non-negative continuous function on

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

For a non-negative continuous function

f

[1,5]

, suppose

\displaystyle \int_{1}^{5} f(x)\,dx = 8

and

\displaystyle \int_{3}^{5} f(x)\,dx = 2J

, where

J = \displaystyle \int_{1}^{3} f(x)\,dx

. Determine

J

. (a)

4

(b)

2

(c)

\dfrac{8}{3}

(d)

6