Derive the following formula from the definition of Laplace transform . {felatio)ly _ _ amp; - at it ( 8 - 1) 2 + 62^ where a and bare real and i_...

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The book is Dennis G. Zill & Warren S. Wright, Advanced Engineering Mathematics (5th or 6th edition), Jones & Bartlett

4. 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.