Problem: Solve the following integral
$$\int _0^2t^2e^{-t}\cos\left(n\frac{\pi }{2}t\right)dt\:$$
My question
Can I solve this integral using the Laplace transformation, if so what would be a great start to approach this integral?
2026-04-04 07:37:26.1775288246
Solve $\int _0^2t^2e^{-t}\cos\left(n\frac{\pi }{2}t\right)dt\:$ using Laplace
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