Is Integration easy??

Level pending

Consider a function given by:

\(f(x,n) = \sum_{r=1}^n (-1)^{r} x^r\)

If the following integral

\[\int_0^1 \frac{f(x,2014)}{ln x} \]

can be expressed as \[ln \bigg( {a \choose b} \times c \times (\frac{1}{d})^b \bigg)\]

Find the value of \(a + b + c +d\).

Details And Assumptions:

\(ln x\) denotes the natural logarithm of x.

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