If $ \int_a^b |\sin x| dx =8 $ and $ \int_0^{a+b} |\cos x| dx =9$ , then what is the value of $\int_a^b x \sin x dx $ ?
I have no idea how to approach this problem.
Please help.
2026-05-17 06:49:15.1779000555
Find $\int_a^b x \sin x dx $ , given $ \int_a^b |\sin x| dx$ and $\int_0^{a+b} |\cos x| dx $
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Hint: $$a+b=4.5\pi\\b-a=4\pi$$