Indefinite Integration · Integral of type e^x(f+f')

Let

f(x) = \displaystyle\int\frac{(2 - x^2)\cdot e^x}{\left(\sqrt{1+x}\right)(1-x)^{3/2}}\,dx

. If

f(0) = 0

, then

f\left(\dfrac12\right)

is equal to:

We corrected a printing error in the original paper

Source printed “If $f(0) - 0$ ” (minus sign instead of the equals sign).

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