CIRCUIT THEORY AND OPERATIONAL CALCULUS 721 



(h) £ e-*'sin \tdt= ^ 



p' + \-' 





(i) /"°e-*'cosX/(//=-,^-,. 



•/O P' + A 



= -^ = 

 ' P' + \' ' 



0) / e-'"e^>'' COS \l dt = 

 Jo 



P+n 



ip+ixY+r-' 



* = (-^S^=— cosX/. 



e-pie-f' sin \t dt ■■ 



(P+m)=+X^' 



(1) r e-f'Jo{\l)dl= , ^ , 



Vp^+y^' 



(m) f "e-^'JoiVF^') dt = «J^^, 



= Joiy/fi-\-) for />X. 

 (n) /^"^-"M^Ddt^y^^y r"-=p' + \'. 



(p) /* e-f'e>"Io{\t)dt= , ^ 



A = -7=i==e->^'/o(X/). 

 V1+2X//. 



