Let be continuous on

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let

f

be continuous on

[0,5]

. Given

\displaystyle \int_{0}^{5} f(x)\,dx = 12

and

\displaystyle \int_{0}^{5} \bigl(2x-1\bigr) f(x)\,dx = 3

, find

\displaystyle \int_{0}^{5} x f(x)\,dx

. (a)

\dfrac{9}{2}

(b)

\dfrac{15}{2}

(c)

4

(d)

\dfrac{5}{2}