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Grade 11Integral Calculus

Please help me with the following integral please simplify it and then solve

Question image for Please help me with the following integral please
Profile image of Prathamesh Kulkarni
8 Years agoGrade 11
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1 Answer

Profile image of sanjiv barnwal
8 Years ago
Integral of (sec x)/(sec x+tan x)^2 dx.....(1)take sec x+tanx=t(sec x tan x+sec^2x)dx=dtsec x (sec x+tan x)dx=dtdx=dt/(sec x (sec x+tanx)putting value of dx in (1) we getintegral of dt/t^3 =(-1/2)(sec x+tanx)^2