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New: AI prompts

Type a math expression, write an AI-style prompt in plain language, upload a math image, or paste one directly into the field. CoProf can build the expression automatically before solving integrals, derivatives, limits, or equations with step-by-step solutions.

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Trig

Input guide AI prompts

CoProf understands AI-style prompts, direct math syntax, and math images.

For beginners: prompts the AI can interpret

Start with the action: integrate, differentiate, compute the limit, or solve.
Include the expression, then add the variable, bounds, target, or unknowns when needed.
A strong prompt usually follows: operation + expression + variable/target + bounds if needed.
Detection is case-insensitive: integrate, Integrate, and INTEGRATE are treated the same.
Recognized English starters include: integrate, integral, integral of, differentiate, derivative, derivative of, derive, limit, limit of, solve, and solve for.
Helpful context phrases also work: with respect to, from ... to ..., between ... and ..., as x approaches ..., squared, cubed, divided by, over.

Prompt Integrate sin(x)^2 from 0 to pi

Prompt Differentiate x^x with respect to x

Prompt Compute the limit of (1-cos(x))/x^2 as x approaches 0

Prompt Solve x^2 - 5*x + 6 = 0 for x

Prompt Integrate 1/(1+x^2) from 0 to 1

Quick suggestions for the selected mode

Common topics

For advanced users: direct math syntax

You can type expressions directly: x^2, sin(x), sqrt(x), ln(x), pi, oo.
Use explicit multiplication when helpful: 2*x, x*sin(x), (x+1)*(x-1).
For bounds, use forms like 0, pi or 1, oo. For limits, enter the target in the limit fields.

Direct x^2

Direct (x+1)/(x-1)

Direct sin(x) + ln(x)

Field setup 0, pi

Field setup 1, oo

Field setup x -> 0+

Field setup x -> oo

Review details

Integral (∫) Derivative (d/dx) Limit (lim) Solve (=)

Variable

Use one letter such as x, y, or t for calculus. For equations or systems, enter one or more variables such as x or x, y.

Bounds (definite or improper integral)

Lower bound

Bounds

Functions

Upper bound

Bounds

Functions

Enter lower and upper bounds as [a, b] or a, b. Examples: 0, 2 ; 0, pi ; 0, oo ; 1, oo ; -oo, 0 ; -oo, oo.

Result and steps will appear here after you solve.