# 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.

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

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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