︠0708aeb7-1db4-4e87-a3ee-24c30f7f37c2s︠ %typeset_mode True ︡2c278fe1-3aa6-4cf4-ac7c-80c9eb07d352︡{"done":true}︡ ︠2f441ffe-c35f-4c09-94ea-7c3871c23d0es︠ integral(1/((100-x)*x),x) ︡4ddc1549-7052-4da9-898d-fc215d284b5e︡{"html":"
$\\displaystyle -\\frac{1}{100} \\, \\log\\left(x - 100\\right) + \\frac{1}{100} \\, \\log\\left(x\\right)$
"}︡{"done":true}︡ ︠ad860f57-82c5-404f-b65e-88818b7c8b9c︠ ︡232a8ee4-6bbd-4643-a975-5bcbceb91cac︡ ︠aecbb28d-88bd-46df-8d4d-d89879f6d79fs︠ f = 1/((100-x)*x) ︡e8afbe24-bba4-4418-9641-f5e372988582︡{"done":true}︡ ︠102ddda4-3e81-4c5d-961f-c9f736c354fa︠ ︡5feb5286-aec5-43cc-bb10-b00624bf50df︡ ︠4a30368e-3fa5-4f78-806a-ee49f6db7c13s︠ integral(f,x,) ︡9306c5ca-186e-4259-b2b2-6c10a2d42af2︡{"html":"
$\\displaystyle -\\frac{1}{100} \\, \\log\\left(x - 100\\right) + \\frac{1}{100} \\, \\log\\left(x\\right)$
"}︡{"done":true}︡ ︠085fda10-cfed-4b61-b861-1054da3d680c︠ ︡da543fd0-f428-4b57-b755-3d77b099b238︡ ︠8b35c042-f736-4da4-9d69-4153862b0a50s︠ f.partial_fraction() ︡752a326a-d2c0-4d5e-b882-f85bbceb809f︡{"html":"
$\\displaystyle -\\frac{1}{100 \\, {\\left(x - 100\\right)}} + \\frac{1}{100 \\, x}$
"}︡{"done":true}︡ ︠999bfbf9-b8d2-4100-b1c8-d712af9be388︠