If and , then find the value of…

MATHEMATICS · Subjective · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

\int_{a}^{b} |\sin x| dx = 8

and

\int_{0}^{a+b} |\cos x| dx = 9

, then find the value of

\int_{a}^{b} x \sin x dx