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Laplace transform of $\int_0^t u^2 \sin(t - u) \, du$ is:

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Whenever you see an integral of the form $\int_0^t f(u)g(t-u)du$, avoid performing manual integration. Instantly treat it as a convolution and multiply their standard Laplace transforms.

Updated On: Jul 9, 2026

$\frac{2}{s(s+1)}$
$\frac{1}{s^2(s^3+1)}$
$\frac{2}{s^3(s^2+1)}$
$\frac{2}{s(s^2+1)}$

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The Correct Option is C

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Laplace transform of $\int_0^t u^2 \sin(t - u) \, du$ is:

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The Correct Option is C

Solution and Explanation

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