Question 2 which is the convenient choice ?

Mathematics
Tutor: None Selected Time limit: 1 Day

Apr 10th, 2015

∫ x sin(x) cos(x) dx 
let 

u = x ; du = dx 
dv = sin(x) cos(x) ; v = (1/2) sin²(x) 

= x/2 sin²(x) - 1/2 ∫ sin²(x) dx 
= x/2 sin²(x) - 1/4 ∫ 1 - cos(2x) dx 
= x/4 (1 - cos(2x)) - 1/4 (x - 1/2 sin(2x)) + c 
= 1/8 [ sin(2x) - 2x cos(2x) ] + c 

Answer: 1/8 [ sin(2x) - 2x cos(2x) ] + c

Apr 10th, 2015

Thank you Sir.


Apr 10th, 2015

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