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Adranced Math.f(x)=xFrom defination.\begin{array}{l} L\{f(x)\}=\int_{0}^{\infty} e^{-s x} f(x) d x=\int_{0}^{\infty} e^{-s x} x d x \\=\left[\frac{x e^{-s x}}{-s}-\frac{e^{-s x}}{s^{2}}\right]_{0}^{\infty} \\=0-\left(-\frac{1}{s^{2}}\right) \\=\frac{1}{s^{2}} \\=\frac{1}{s^{2}}\end{array} ...