\[\large{2 \displaystyle \int^{\infty}_{0} \mathcal{L} \left \{ \displaystyle \sum^{\infty}_{n=1} \dfrac{(-1)^{n-1} t^{2n-1}}{\left((2n-1)! \right)^2} \right \}ds=?}\]

**Clarification**

\(\mathcal{L} \{f(t)\}=F(s)\) denotes laplace transform of \(f(t)\)

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