# Easy Calculus 3 : Imaginary

Calculus Level pending

$\large \int_0^2 ~ i^x ~ \mathrm{d}x$

If value of the expression above is of the form $$\dfrac{A i}{\pi}$$, find the value of $$A$$.

Notation: $$i = \sqrt[]{-1}$$ denotes the imaginary unit.

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