Question 3 which is the efficient method

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Apr 10th, 2015

Rewrite as x sec² x - x and on the 1st use integration by parts with u = x and dv = sec² x dx..next integral is tan x which is a ln |sin x | answer

∫ xtan^(2)x dx = 
∫ x d(tan x)-∫ x dx = 
xtan x - ∫tan x dx -(1/2)x^2 = 
xtan x + ∫1/cos x d(cos x) -(1/2)x^2 = 
xtan x +ln|cos x|+(1/2)x^2 +C

Apr 10th, 2015

Thank you very much Shashanmohore. It was very helpful.

Apr 10th, 2015

Sir, Which will be the efficient method A,B,C,D,or E?


Apr 10th, 2015

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Apr 10th, 2015
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Apr 10th, 2015
Sep 23rd, 2017
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