A multipurpose bot that is able to calculate common Calculus terms, like derivatives, integrals, limits, and many others.
This Calculus bot uses the discord.py as the main framework of the bot. The bot uses the Sympy module to calculate the different Calculus terms. You are able to calculate derivatives, antiderivatives, limits, definite integrals, area between curves, average and instantaneous rates of change, average value, volumes of revolutions, and cross sections. The prefix of every command is "+", and to get every command available write "+help" to get a message in discord that lays out every command and helpful tips.
This is what "+help" will "print" out: Calculus Bot Help:
Limits: +lims [function],[value] Derivative: +diff [function] Antiderivative: +inte [function] Definite Integral: +defi [function],[a],[b] Area Between Curves: +area [function1],[function2],[a],[b] Average Value: +avgv [function],[a],[b] Instantaneous Rate of Change: +iroc [function],[value] Average Rate of Change on (a,b): +aroc [function],[a],[b]
Volume of Revolutions: OBS: If the function(s) are revolved around another line than the x-axis, remember to subtract that line from the [function] part. Ex. if x^2 is revolved around x=2, then you would write x**2 - 2 as the function. Disk Volume of Revolution: +dvol [function],[a],[b] Washer Volume of Revolution: +wvol [function1],[function2],[a],[b]
Cross Section Volumes: OBS: These calculations can take a couple of seconds Cross Section of Square: +cssq [function1],[function2],[a],[b] Cross Section of Semi-Circle: +cssc [function1],[function2],[a],[b]
How functions and symbols look: 2x^2 = 2*x**2 e^x = exp(x) Squareroot of x = sqrt(x) Infinity = oo
Helpful tip: All these functions are default for "y=" or "f(x)" but if you need horizontal strips for areas or your volume is revolved the y-axis then write the function as a "x=" or "f(y)" and also find the y= values for the limits, then you can put then in just using x, and get your answer!!!
