integral
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can I able to integrate a function with some limits a, b but without define the values to the limit , e.g f(x) = x^3 -3*x , having limits x1, x2 but I don't want to assign the values to it . can I integrate it in Matlab
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bym
2012-5-5
syms x a b
>> f = x^3-3*x;
>> int(f,a,b)
ans =
-((a + b)*(a - b)*(a^2 + b^2 - 6))/4
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Walter Roberson
2012-5-11
That integral for f is certainly correct, as can be seen by removing the constant and realizing one is really only dealing with the integral of T^2, which of course yields 1/3*T^3
((T - T0)*(2*cp0 + T*b - T0*b))/2 is correct for the integral of cp with respect to T over T0 to T, but only provided that b(T-T0) is interpreted as meaning b*(T-T0) rather than b indexed at T-T0.
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