# Interesting Integral

Calculus Level pending

The value of

$$e^{\int^1_{-1} \frac{15x-25}{4x^2+15x-25}dx}$$

Can be expressed as $$\frac{a\sqrt{b}}{c}$$ where $$a, b, c$$ are integers, $$a, c$$ are relatively prime, and $$b$$ is not divisible by any square number greater than 1. Find a+b+c.

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