Definition of Laplace transform

Solve the question The book is Dennis G. Zill & Warren S. Wright, Advanced Engineering Mathematics (5th or 6th edition), Jones & Bartlett4. Derive the following formula from the definition of Laplace transform .{felatio)ly _ _& – at it( 8 – 1) 2 + 62^where a and bare real and i_ _ _ I. ( Note that s _ a ) . Show how Euler’s formula can*then be used to deduce the results$ – aI feel cas (` ) ; = (8 – 2 ) 2 + 62and9{ feat sin ( but ) 1 = 18 – 21 2 + 62`Hint : You may lise that for non -zero complex numbers*.ex’de = I’ll~ + 0.