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Consider the following (in sage 4.3.5):
sage: integral(exp(-x^2), x, 17, 42) -1/2*sqrt(pi)*erf(17) + 1/2*sqrt(pi)*erf(42) sage: N(-1/2*sqrt(pi)*erf(17) + 1/2*sqrt(pi)*erf(42)) 0.000000000000000
sage: N(integral(exp(-x^2), x, 17, 42)) --------------------------------------------------------------------------- TypeError Traceback (most recent call last) /opt/sage-4.3.5/ in () /opt/sage-4.3.5/local/lib/python2.6/site-packages/sage/misc/functional.pyc in numerical_approx(x, prec, digits) 1161 prec = int((digits+1) * 3.32192) + 1 1162 try: -> 1163 return x.numerical_approx(prec) 1164 except AttributeError: 1165 from sage.rings.complex_double import is_ComplexDoubleElement /opt/sage-4.3.5/local/lib/python2.6/site-packages/sage/symbolic/expression.so in sage.symbolic.expression.Expression.n (sage/symbolic/expression.cpp:17043)() TypeError: cannot evaluate symbolic expression numerically
Component: calculus
Keywords: integral, numerical conversion
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