Definite Integral Practice

Calculus Level 3

Evaluate the SUM of the three definite integrals

6 11 ( x 2 ) 1 / 2 d x \int_6^{11} (x-2)^{1/2}dx

+

1 0 ( 1 + x x 3 ) d x \int_{-1}^{0} (1+x-x^3) dx

+

0 6 x 3 d x \int_0^{6} |x-3|dx

(Answer as a decimal rounded to the nearest 2 decimal places, not a fraction!)


The answer is 22.42.

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