I have to evaluate the following integral by using the Laplace transform:
$$\int_0^\infty \frac{\sin^4 (tx)}{x^3}\,\mathrm{d}x.$$
How am I supposed to approach this question by using the Laplace transform?
I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...
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