# 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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