10.3.4 Approximating integrals with an adaptive Gaussian quadrature at 15 points: gaussquad
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.
-
gaussquad takes four arguments:
-
expr, an expression.
- var, the variable used by the expression.
- a,b, two numbers.
- gaussquad(expr ⟨,var⟩ a,b)
returns an approximation of the integral
∫abexprdvar.
Examples.
-
Input:
gaussquad(exp(x^2),x,0,1)
Output:
- Input:
gaussquad(exp(-x^2),x,-1,1)
Output: