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chimanshu_007 (11405)

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Olaaa!! Perrrfect answer. 2091  [2566 rates]

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ans 4) integral dx / (1 + ex)(1 - e-x)

= dx / (1 + ex)(1 - (1/ex))

= exdx / (1 + ex)(ex - 1)..................just taking the LCM

= exdx / (e2x - 1)...................(a+b)(a-b) = a2 - b2

now put ex = t , exdx = dt

it becomes

dt / t2 - 1

now its easy

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