Is it possible to use the solve() function to find an unknown which is a limit of integration? A trivial example would be,
$$ \int_0^{x^\prime} mx+c \quad dx = 10 $$
where $x^{\prime}$ is the unknown ($m$ and $c$ are both known).
For such an easy example, Sage is able to do it in the following way:
sage: var('x,c,m,t')
(x, c, m, t)
sage: f(x) = m*x + c
sage: solve([f.integral(x,0,t) == 0], t)
[t == -2*c/m, t == 0]
sage: solve([f.integral(x,0,t) == 10], t)
[t == -(c + sqrt(c^2 + 20*m))/m, t == -(c - sqrt(c^2 + 20*m))/m]
Asked: 2013-05-24 05:28:24 +0200
Seen: 458 times
Last updated: May 24 '13
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