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x f 12 x 2^0.01 - sqrt * / :

x F 12 / 10 x * 100 x 2^* 1 - sqrt + ln * :

One primitive for f(x)

As you may have seen, SMath's internal algorithm for calculating integrals is not very efficient. However, that could be considered the least of the problems with the given expression, as this should give an error, instead 3.3554 * 10 ^ 8

0.1 f 3.3554 108^*

Thus, the integral is improper. For numerical purposes you need to avoid the poiint 0.1 because the integrand isn't defined there. Using 1000 as accurancy for integrals, and avoiding the singular point, you have a decent answer

I.1 x f x 0.1 105 -^+ 0.2 int : 0.652322

I.0 0.2 F 0.1 F - : 0.658479

err I.1 I.0 - I.0 / abs : % 0.93

x f

0.1 f 3.3554 108^*

x f x int simplify maple 10 x * 1 - 10 x * + (110 x * + (* sqrt + ln 2 /