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maths integration 3 questions

(1/1)

SGVaibhav:
1) Integrate   x . arc tan x                        (x multiplied by tan inverse x)
2) Integrate  e^x . cos x                         (e to the power x multiplied by cos x)
3) Integrate  sec^3 x                              (sec cube x)

need with working

u can start by posting answers from 1st question
i think the required method is integration by parts, but im not getting the answer.

SGVaibhav:
no problem

i found the answer..

astarmathsandphysics:
To all the questions?

SGVaibhav:
yes

took me like 2 hours 45 mins :P

astarmathsandphysics:
Good. Those qs are tricky

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