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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: INTEGRATE!!!!!!!!!!!!!!!!!
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amogh.91 (0)

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amogh.91 (0)

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I think it is :-


dx



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amogh.91 (0)

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is it RITE?????????????

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flowers_rsss (170)

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is the answer -log(cosx-sinx)??
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amogh.91 (0)

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show the working

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flowers_rsss (170)

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expanding   1+tanx/1-tanx


we get


cosx+sinx/cosx-sinx


d/dx of cosx -sinx is -(sinx+cosx)


so let


cosx-sinx=t


then  we get


-dt/t


= -logt


=-log(cosx-sinx)


correct if i am wrong!!!

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pinnacle (223)

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well
convert tan into sin and cos
u ll have
[cos x + sinx] / [cos x - sin x]

put denom as t
differentiate it
substitute
and get d answr

I Tried So Hard And Got So Far
But In The End
It Doesnt Even Matter...
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amogh.91 (0)

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thts rite but what about the 2nd post??? is tht rite??

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aggmegha90 (63)

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u can wright it as tan(x+pi/4), then integrate it, u get log sec x+pi/4

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