integral of 1 / sqrt[4 + 3x - x² ] using completion of squares method

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

PAGE 1 BASIC INTEGRATION

PAGE 2 INTEGRATION BY SUBSTITUTION

PAGE 3 INTEGRATION BY COMPLETION OF SQUARES

PAGE 4 INTEGRATION BY PARTS

PAGE 5 INTEGRATION BY MANIPULATION OF NUMERATOR IN TERMS OF DENOMINATOR

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