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integrate after completing the square
to make the coefficient of x² (+1) , take -1 common , but it remains inside the sqrt sign
to get sqrt [ - ( x² -3x - 4)] now take half the coefficient of x , that is half of (-3)
to get [x- (3/2) ]² and then adjust the constant term and finally re introduce the -1 taken out earlier
answer and some steps are given below
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