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π/3 = 60°
π/2
∫ x cosx dx =
π/3
=| x sin x - cos x|(π/2 ....π/3)
= (π/2 - π/3) { sin π/2 - sin π/3)} - { cos π/2 - cos π/3}
= π/6 (1 - 1/2√3) - (0 - 1/2)
= π/6 - π/12 √3 + 1/2
= 1/12 ( 2π - π√3 + 6)