Q. 224.7( 4 Votes )

<span lang="EN-US

Answer :


We can write above integral as


[Adding and subtracting 1 in denominator]



sin2x + cos2x = 1 and


sin2x = 2 sinx cosx


sin2x + cos2x - 2 sinx cosx = (sinx – cosx)2


Put sinx – cosx = t


Differentiating w.r.t x we get,


(cosx + sinx)dx = dt


Putting values we get,




Putting value of t we get,



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