Casio fx-991EX vs Hp 50g speed difference

[Carsen]

When I enter the integral in exact mode, I get -(COS(200)-1) in .51 seconds. Then I proceed to get the numerical answer of 0.512812324993 in .04 seconds by executing ->NUM on the equation. Thus, computing it in .55 seconds.

When I enter the integral in approx. mode, I get the answer of 0.512812324889 in 111.36 seconds with an error of 1.3E-9.