Table of Laplace Transforms - Integral Table

Table of Laplace Transformsf(t)L[f(t)] =F(s)11s(1)eatf(t)F(s a)(2)U(t a)e ass(3)f(t a)U(t a)e asF(s)(4) (t)1(5) (t t0)e st0(6)tnf(t)( 1)ndnF(s)dsn(7)f (t)sF(s) f(0)(8)fn(t)snF(s) s(n 1)f(0) f(n 1)(0)(9) t0f(x)g(t x)dxF(s)G(s)(10)tn(n= 0,1,2,..)n!sn+1(11)tx(x 1 R) (x+ 1)sx+1(12)sinktks2+k2(13)cosktss2+k2(14) eat1s a(15)sinhktks2 k2(16)coshktss2 k2(17)eat ebta b1(s a)(s b)(18)f(t)L[f(t)] =F(s)aeat bebta bs(s a)(s b)(19)teat1(s a)2(20)tneatn!(s a)n+1(21)eatsinktk(s a)2+k2(22)eatcoskts a(s a)2+k2(23)eatsinhktk(s a)2 k2(24)eatcoshkts a(s a)2 k2(25)tsinkt2ks(s2+k2)2(26)tcoskts2 k2(s2+k2)2(27)tsinhkt2ks(s2 k2)2(28)tcoshkts2 k2(s2 k2)2(29)sinattarctanas(30)1 te a2/4te a s s(31)a2 t3e a2/4te a s(32)erfc(a2 t)e a ss(33) 2011 for This work is licensed under a Creative Commons Unported License. Revised with corrections May 24, 2013.

Jul 01, 2016 · Table of Laplace Transforms f(t) L[f(t)] = F(s) 1 1 s (1) eatf(t) F(s a) (2) U(t a) e as s (3) f(t a)U(t a) e asF(s) (4) (t) 1 (5) (t stt 0) e 0 (6) tnf(t) ( 1)n dnF(s) dsn (7) f0(t) sF(s) f(0) (8) fn(t) snF(s) s(n 1)f(0) (fn 1)(0) (9) Z t 0 f(x)g(t x)dx F(s)G(s) (10) tn (n= 0;1;2;:::) n! sn+1 (11) tx (x 1 2R) ( x+ 1) sx+1 (12) sinkt k s2 + k2 ...

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