Evaluate the following integrals:




For x=-1/2, equation: -1/2 = B i.e. B = -1/2


For x=0, equation: 0 = A-1/2 i.e. A = 1/2




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+2x) and f2(x) = e2x in the second integral and keeping the first integral intact,





, where c is the integrating constant


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