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Question

Write a value of 11+ex dx.

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Solution

Let I=dx1+exDividing numerator & denominator by exI=1exdx1ex+1 =e-x dxe-x +1Let e-x+1=t-e-x dx=dte-x dx=-dtI=-dtt =-log t+C =-log 1+ex+C t=1+ex

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