Question 3 which is the efficient method

Mathematics
Tutor: None Selected Time limit: 1 Day

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

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Apr 10th, 2015
...
Apr 10th, 2015
May 28th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer