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Ss Das from bmhs, asked a question
Subject: Math , asked on 14/7/15

integral of 1/(sinX +secX) dx

Sana , added an answer, on 14/2/13
2 helpful votes in Math

 convery in sin and cos form-

cosx/(1+sinx cosx)

 

then rationalise. it will be ((cosx/(1-sin^2x cos^2x) - (cos^2x sinx/(1-cos^2x sin^2x))

then put sinx=t in one part and cosx = t in other. solve as usual..

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Subin Thekkan From K.v.payyanur, added an answer, on 5/3/12
2 helpful votes in Math

some mistake in ur suggestion,

when you multiply & divide secx u will get it as sec2 x/(tan xsec x+sec3 x) dx.

but, exact answer is too long and still many of them didn't solve.!!!!!!  

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Sr From Delhi Public School, added an answer, on 23/2/12
67 helpful votes in Math

multiply numerator and denominator by sec2

sec2x/(tanx+sec2x) =sec2x/(tanx+1+tan2x)

let tanx =t

=> sec2x dx =dt

and solve the eq.in the form of 't'.

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