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Fill in the blanks: 13. The magnificent substitution z = tan(x/2) permits alteration of any trigonometric integrand into a one. 14. If z =

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Fill in the blanks: 13. The magnificent substitution z = tan(x/2) permits alteration of any trigonometric integrand into a one. 14. If z = tan(x/2), then dx=. 15. After the substitution z = tan(x/2) we get an that is a rational function of z.

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