高等数学

拉式变换简表

$$f(x)$$ $$L\left[ f(t) \right]$$
$$t^{n}$$ $$\frac{\Gamma(n+1)}{s ^{n+1}}$$
$$\sin at$$ $$\frac{a}{s^{2}+a^{2}}$$
$$\cos at$$
 $$\frac{s}{s^{2}+a^{2}}$$
$$t\sin at$$
 $$\frac{2as}{(s^{2}+a^{2})^{2}}$$
$$t\cos at$$
 $$\frac{s^{2}-a^{2}}{(s^{2}+a^{2})^{2}}$$
$$\frac{1}{2a^{3}}\left( \sin at - t\cos at \right) $$
 $$\frac{1}{(s^{2}+a^{2})^{2}}$$
$$\frac{1}{2a}\left( \sin at + t\cos at \right) $$
 $$\frac{s^{2}}{(s^{2}+a^{2})^{2}}$$