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from sympy import * d1, d2, l = var('d1 d2 l') x = var('x') # d(x): dx = d1 + (d2 - d1) * x/l # d(x)^2: dxq = dx*dx # A(x): Ax = pi/4 * dxq sol = integrate(1/Ax, (x,0,l)) print latex(simplify(sol)) # result: # $4 \frac{l}{\pi d_{1} d_{2}}$
\frac{4 l}{\pi d_{1} d_{2}}