Calculating an easy integral:
integrate (integrate pow(x,2)-10+3*y from -sqrt(x) to x) from 0 to 10:    3117.69 with global error: 0.00393203 
Value calculated by CAS: 3117.6894

Calculating the integral over the Rosenbrock function:
integrate (integrate pow(1-x,2)+10*pow(y-pow(x,2),2) from -sqrt(x) to x) from 0 to 1:    6.38723 with global error: 0.000472214 
Value calculated by CAS: 6.3872