Newton
App · 5 actions
Do symbolic math in a workflow: simplify and factor expressions, find derivatives and integrals, and work out trigonometric functions, absolute values and logarithms exactly. Powered by the open-source Newton micro-service. No account or API key required.
Actions
| Action | What it does |
|---|---|
| Apply a function | Work out a trigonometric function, its inverse, an absolute value or a logarithm, exactly where possible: cos(pi/3) is 1/2, arcsin(1) is 1/2 pi and log base 10 of 1000 is 3. |
| Factor expression | Factor a polynomial into simpler pieces, e.g. x^2 + 2x becomes x (x + 2) and x^2-5x+6 becomes (x - 3) (x - 2). |
| Get derivative | Differentiate an expression with respect to x, e.g. x^2+2x gives 2 x + 2 and x*sin(x) gives sin(x) + x cos(x). |
| Get integral | Integrate an expression with respect to x (the indefinite integral), e.g. x^2+2x gives 1/3 x^3 + x^2. |
| Simplify expression | Simplify a math expression: work out the arithmetic and collect like terms, e.g. 2^2+2(2) becomes 8 and (x+1)^2 becomes x^2 + 2 x + 1. |
Apply a function
Work out a trigonometric function, its inverse, an absolute value or a logarithm, exactly where possible: cos(pi/3) is 1/2, arcsin(1) is 1/2 pi and log base 10 of 1000 is 3. Angles are in radians. No API key required.
Inputs
- Function
functiontextRequired - The function to apply.One of:
cos(Cosine (cos)),sin(Sine (sin)),tan(Tangent (tan)),arccos(Inverse cosine (arccos)),arcsin(Inverse sine (arcsin)),arctan(Inverse tangent (arctan)),abs(Absolute value (abs)),log(Logarithm (log)). - Value
valuetextRequired - What to apply it to: a number or an expression, with angles in radians, e.g. pi/3 or 0.5.
- Base
basenumber - The base of the logarithm, e.g. 10 or 2. Only for Logarithm; leave empty for the other functions.
Outputs
basenumber- The base of the logarithm; empty for every other function.
functiontext- The function applied: cos, sin, tan, arccos, arcsin, arctan, abs or log.
numeric_valuenumber- The result as a number when it is a plain number or fraction; empty when it is written with pi or left as e.g. 'sin(1)'.
resulttext- Newton's answer, exact where it can be (e.g. '1/2' or '1/2 pi'), otherwise a decimal.
summarytext- One line with the calculation, e.g. 'cos(pi/3) = 1/2'.
valuetext- What it was applied to, e.g. 'pi/3' or '1000'.
Example output
{
"base": null,
"function": "cos",
"numeric_value": 0.5,
"result": "1/2",
"summary": "cos(pi/3) = 1/2",
"value": "pi/3"
}Factor expression
Factor a polynomial into simpler pieces, e.g. x^2 + 2x becomes x (x + 2) and x^2-5x+6 becomes (x - 3) (x - 2). No API key required.
Inputs
- Expression
expressiontextRequired - The expression, in x, written the way you would type it: ^ for powers, * or a space for multiplying, / for dividing, e.g. x^2 + 2x or sin(x)*x.
Outputs
expressiontext- The expression that was sent, tidied of extra spaces.
numeric_valuenumber- The result as a number when it is a plain number or fraction (e.g. 8 or 0.5); empty when it still has x or pi in it.
operationtext- What was done: 'simplify', 'factor', 'derive' or 'integrate'.
resulttext- Newton's answer in its own notation, with a space for multiplication, e.g. '2 x + 2' or 'x (x + 2)'.
summarytext- One line saying what was worked out, e.g. 'The derivative of x^2+2x is 2 x + 2'.
Example output
{
"expression": "x^2 + 2x",
"numeric_value": null,
"operation": "factor",
"result": "x (x + 2)",
"summary": "x^2 + 2x factors as x (x + 2)"
}Get derivative
Differentiate an expression with respect to x, e.g. x^2+2x gives 2 x + 2 and x*sin(x) gives sin(x) + x cos(x). No API key required.
Inputs
- Expression
expressiontextRequired - The expression, in x, written the way you would type it: ^ for powers, * or a space for multiplying, / for dividing, e.g. x^2 + 2x or sin(x)*x.
Outputs
expressiontext- The expression that was sent, tidied of extra spaces.
numeric_valuenumber- The result as a number when it is a plain number or fraction (e.g. 8 or 0.5); empty when it still has x or pi in it.
operationtext- What was done: 'simplify', 'factor', 'derive' or 'integrate'.
resulttext- Newton's answer in its own notation, with a space for multiplication, e.g. '2 x + 2' or 'x (x + 2)'.
summarytext- One line saying what was worked out, e.g. 'The derivative of x^2+2x is 2 x + 2'.
Example output
{
"expression": "x^2+2x",
"numeric_value": null,
"operation": "derive",
"result": "2 x + 2",
"summary": "The derivative of x^2+2x is 2 x + 2"
}Get integral
Integrate an expression with respect to x (the indefinite integral), e.g. x^2+2x gives 1/3 x^3 + x^2. The result leaves out the constant of integration (+ C). No API key required.
Inputs
- Expression
expressiontextRequired - The expression, in x, written the way you would type it: ^ for powers, * or a space for multiplying, / for dividing, e.g. x^2 + 2x or sin(x)*x.
Outputs
expressiontext- The expression that was sent, tidied of extra spaces.
numeric_valuenumber- The result as a number when it is a plain number or fraction (e.g. 8 or 0.5); empty when it still has x or pi in it.
operationtext- What was done: 'simplify', 'factor', 'derive' or 'integrate'.
resulttext- Newton's answer in its own notation, with a space for multiplication, e.g. '2 x + 2' or 'x (x + 2)'.
summarytext- One line saying what was worked out, e.g. 'The derivative of x^2+2x is 2 x + 2'.
Example output
{
"expression": "x^2+2x",
"numeric_value": null,
"operation": "integrate",
"result": "1/3 x^3 + x^2",
"summary": "The integral of x^2+2x is 1/3 x^3 + x^2 + C"
}Simplify expression
Simplify a math expression: work out the arithmetic and collect like terms, e.g. 2^2+2(2) becomes 8 and (x+1)^2 becomes x^2 + 2 x + 1. No API key required.
Inputs
- Expression
expressiontextRequired - The expression, in x, written the way you would type it: ^ for powers, * or a space for multiplying, / for dividing, e.g. x^2 + 2x or sin(x)*x.
Outputs
expressiontext- The expression that was sent, tidied of extra spaces.
numeric_valuenumber- The result as a number when it is a plain number or fraction (e.g. 8 or 0.5); empty when it still has x or pi in it.
operationtext- What was done: 'simplify', 'factor', 'derive' or 'integrate'.
resulttext- Newton's answer in its own notation, with a space for multiplication, e.g. '2 x + 2' or 'x (x + 2)'.
summarytext- One line saying what was worked out, e.g. 'The derivative of x^2+2x is 2 x + 2'.
Example output
{
"expression": "2^2+2(2)",
"numeric_value": 8.0,
"operation": "simplify",
"result": "8",
"summary": "2^2+2(2) simplifies to 8"
}