# Making a detour

Calculus Level 4

$\int_C\frac{x}{(x^2+y^2)^{3/2}}dx+\frac{y}{(x^2+y^2)^{3/2}}dy$

If $$C$$ is the path defined by $$x=2^t\cos(2\pi t^2), y=2^t\sin(2\pi t^2)$$, for $$0\leq t\leq 1$$, find the integral above.

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