IIT JEE , AIEEE Forum - Mathematics , Integral Calculus

joydas2514795

^{[ (cosX-cos2X) / (1+sinX ) = - (x +2cosX ) +C}

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sudeep.kumar

Dear Joy, are u askin to prove that the integral is equal to (x+2cosx) ???

Lets check backwards, the differential of RHS is ( 1-2sinx)

So, we should have,

(cosx - cos2x)/(1+sinx) = (1 - 2sinx)

or (cosx - 2sin²x +1) = (1+sinx-2sinx-2sin²x)

Which means sinx = -cos x???

So, if i m getting the question correct, you have typed something wrong... please recheck it.

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