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21.2.2  Approximating definite integrals

The romberg or nInt command finds approximate values of integrals using the Romberg method.

Example

romberg(exp(x^2),x,0,1)
     
1.46265174591           

The gaussquad command finds an approximate value of an integral, calculated by an adaptive method by Ernst Hairer which uses a 15-point Gaussian quadrature.

Examples

gaussquad(exp(x^2),x,0,1)
     
1.46265174591           
gaussquad(exp(-x^2),x,-1,1)
     
1.49364826562           

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