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Ask iit jee aieee pet cbse icse state board experts Expert Question: find the integrals of the function cos 2x/(cos x+sin x)
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guru_25 (0)

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aditi_g (355)

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write cos 2x as cos^2x - sinn ^2 x
=thn make factors and u will be left wid
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aditi_g (355)

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cos x - sin x in the numerator
and so the answer will be
sin x + cos x

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lokeshsardana (692)

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aditi, correct ur answer.....since limits aren't mentioned
so, answer is
sinx + cosx +c

LOKESH SARDANA,
department of Production and Industrial engineering,
Indian Institute of Technology,Roorkee.


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iitkgp_bipin (6480)

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I = cos2x / (cosx + sinx) .dx

I = (cos2x - sin2x) / (cosx + sinx) .dx

I = (cosx + sinx).(cosx - sinx) / (cosx + sinx) .dx

I = (cosx - sinx).dx

I = sinx + cosx + c




Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur

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