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lightweight and versatile set of functions for basic calculus operations.","homepage":"https://github.com/bakedPotatoLord/CalcLib#readme","keywords":["calculus","library"],"repository":{"type":"git","url":"git+https://github.com/bakedPotatoLord/CalcLib.git"},"bugs":{"url":"https://github.com/bakedPotatoLord/CalcLib/issues"},"license":"ISC","readme":"# CalcLib.js\r\n<img src='https://github.com/bakedpotatolord/calclib/actions/workflows/Main.yml/badge.svg'><br>\r\n\r\nA lightweight and versatile set of functions for basic calculus operations.\r\n\r\n\r\n## Usage\r\n\r\n```ts\r\nimport {derivitiveAtX} from '@bakedpotatolord/calclib'\r\n\r\nderivitiveAtX((x)=>20*x,0,0.0001) //returns 20\r\n```\r\n\r\nThis library has functions for:\r\n\r\n- [Definite Integration](#definite-integration)\r\n- [Derivite at a Point](#derivitive-at-a-point)\r\n- [Area Around an Axis](#area-around-axis)\r\n- [2 Variable Integration](#2-variable-integration)\r\n- [Arc Length](#Arc-Length)\r\n\r\n\r\n### Definite Integration\r\nfinds the area under a curve\r\n```ts\r\nintegrate(1,0,1,0.001) //returns 1\r\n4*integrate((x)=> Math.sqrt(1-x**2),0,1,0.0001) //returns ~PI\r\nintegrate((x)=> 2*Math.cos(x),0,Math.PI/2,0.001) //returns  2\r\n```\r\n\r\n### Derivitive at a Point\r\nreturns the slope of the tangent line at a point on a function (positive accuracy approaches from right. negative approaches from left)\r\n```ts\r\nderivitiveAtX((x)=>20*x,0,0.0001) //returns 20\r\nderivitiveAtX((x)=>1/x,0,-0.001) //returns Infinity\r\n```\r\n\r\n### Area Around Axis\r\nReturns the area of a function revolved around a given axis, between two points\r\n```ts\r\nareaAroundAxis(2,'x',0,1,0.0001) // returns 4*PI ~= 12.566\r\nareaAroundAxis((x)=>x**2,'y',0,1,0.0001) // returns PI/2 ~= 1.57\r\n```\r\n\r\n### 2 Variable Integration\r\nreturns the area of a shape bounded by the surface produced by the function, bound inputs, and the xy axis\r\n\r\n```ts\r\nintegrate2D(1,0,1,0,1,0.001) // returns 1\r\nintegrate2D((x,y)=>Math.cos(x)*Math.cos(y),0,1,0,1,0.00001) //returns ~0.708\r\n```\r\n\r\n### Arc Length\r\nreturns the length of an arc between two bounds\r\n\r\n```ts\r\narcLength((x)=>x**2,0,2,0.001) //returns ~4.6467\r\narcLength((x)=>Math.sin(x),0,6,0.001) //returns ~7.24256\r\n```","readmeFilename":"README.md","author":{"name":"@bakedpotatolord"}}