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integral(1/((100-x)*x),x)
1100log(x100)+1100log(x)\displaystyle -\frac{1}{100} \, \log\left(x - 100\right) + \frac{1}{100} \, \log\left(x\right)
f = 1/((100-x)*x)
integral(f,x,)
1100log(x100)+1100log(x)\displaystyle -\frac{1}{100} \, \log\left(x - 100\right) + \frac{1}{100} \, \log\left(x\right)
f.partial_fraction()
1100(x100)+1100x\displaystyle -\frac{1}{100 \, {\left(x - 100\right)}} + \frac{1}{100 \, x}