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QUESTION 5 5.1 Determine:

`\int_0^(\infty ) e^(-st)f(t)dt If f(t)=4`

5.2 Calculate the area bounded by the curve

`y=x^(2)`

and the straight line

`y=x+2`

. (6) 5.3 Evaluate the definite integral

`\int_(-3)^3 (dx)/(x^(2)+4)`

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