![laplace transform - Is this proof of $\mathcal{L}\{\sin{at}\}=\frac{a}{s^2+a^2}$ valid? - Mathematics Stack Exchange laplace transform - Is this proof of $\mathcal{L}\{\sin{at}\}=\frac{a}{s^2+a^2}$ valid? - Mathematics Stack Exchange](https://i.stack.imgur.com/rraUu.png)
laplace transform - Is this proof of $\mathcal{L}\{\sin{at}\}=\frac{a}{s^2+a^2}$ valid? - Mathematics Stack Exchange
Find the Laplace transforms of the following functions: (i) (cos at - cos bt)/t (ii) (e^-at - e^-bt)/t (iii) sinh at/t - Sarthaks eConnect | Largest Online Education Community
![SOLVED: LAPLACE TRANSFORM TABLE f()=2 F(s) F(s) = 2f() f()=2 F(s) F(s) = f() 5=0 T(p+I) 37 13.5 (Zn-W)V= 2""=1.23 1.p > -1 3 "=l23- cos (ar ) +0 Zas 10. IcOs ( SOLVED: LAPLACE TRANSFORM TABLE f()=2 F(s) F(s) = 2f() f()=2 F(s) F(s) = f() 5=0 T(p+I) 37 13.5 (Zn-W)V= 2""=1.23 1.p > -1 3 "=l23- cos (ar ) +0 Zas 10. IcOs (](https://cdn.numerade.com/ask_images/83aeca0990a0499782aecc9e584947ba.jpg)