Evaluate the following integrals:




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) = tan-1x and f2(x) = ex in the first integral and keeping the second integral intact,





, where c is the integrating constant


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