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Complete the square solver

Complete the square solver

Input interpretation
complete the square | 28 + 10 x + x^2
Result
(x + 5)^2 + 3
Geometric figure
parabola
Polynomial discriminant
Delta = -12
Derivative
d/dx((x + 5)^2 + 3) = 2 (x + 5)
Indefinite integral
integral (3 + (5 + x)^2) dx = x^3/3 + 5 x^2 + 28 x + constant
Global minimum
min{(x + 5)^2 + 3} = 3 at x = -5
Double integral solver

Double integral solver

Indefinite integral
integral integral (x^2 + y^2) dy dx = c_1 y + c_2 + (x^3 y)/3 + (x y^3)/3
Definite integral over a disk of radius R
integral integral_(x^2 + y^2
Chemistry problem solver

Chemistry problem solver

Input interpretation
famous chemistry problems | provers
Summary
August Kroenig | Rudolf Clausius
(based on 1 values; 21 unavailable)
Basic information
| Rudolf Clausius
full name | Rudolf Julius Emmanuel Clausius
date of birth | Wednesday, January 2, 1822 (195 years ago)
place of birth | Koszalin, Zachodniopomorskie, Poland
date of death | Friday, August 24, 1888 (age: 66 years)
(128 years ago)
place of death | Bonn, North Rhine-Westphalia, Germany
Table
ideal gas law | Rudolf Clausius | August Kroenig