Answer :

For x=-1, equation: -1 = B i.e. B = -1

For x=0, equation: 0 = A-1 i.e. A = 1

The given equation becomes

Tip – If f1(x) and f2(x) are two functions, then an integral of the form can be INTEGRATED BY PARTS as

where f1(x) and f2(x) are the first and second functions respectively.

Taking f1(x) = 1/(1+x) and f2(x) = ex in the first integral and keeping the second integral intact,

, where c is the integrating constant

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