# Let's mix it up

Calculus Level 3

If $$\cos x = \large{\frac{\sqrt{16 - \pi^2}}{4}}$$ and $$\sin x = a$$, when $$a > 0$$, find the value of: $4\int{at^e}\, dt,$

where $$e$$ is a constant.

Clarification: $$C$$ denotes the arbitrary constant of integration.

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