Indefinite Integral Calculator

Use our free indefinite integral calculator to find symbolic antiderivatives for polynomials and common functions, or evaluate the area function numerically.

Math

Mode

f(x) =

Reference lower bound

Upper bound

Evaluation points

Formula

Find symbolic antiderivatives for polynomials and common functions, or evaluate F(x) = ∫ₐˣ f(t) dt (the area function) at multiple points using numerical integration.

∫ xⁿ dx = xⁿ⁺¹/(n+1) + C, ∫ sin(x) dx = −cos(x) + C

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Select 'Symbolic' for the antiderivative formula, or 'Area Function' for numerical F(x).
2Enter f(x).
3For area: choose reference lower bound a and range.
4Click Calculate.

Examples

∫ x² dx

1.∫ x² dx = x³/3 + C

Result: x^3/3 + C

F(x) for f(t)=t from 0

1.F(x)=x²/2
2.F(1)=0.5, F(3)=4.5, F(5)=12.5

Result: 12.5

Frequently Asked Questions

Shows the antiderivative formula for common functions.

F(x) = ∫ₐˣ f(t) dt, computed numerically at multiple points.

Polynomials xⁿ, sin(x), cos(x), 1/x, exp(x).

The constant of integration — antiderivatives are defined up to a constant.

Use the 'Area Function' mode for numerical evaluations.

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CalculateMe Team

Last updated: 2026-07-14

Indefinite Integral Calculator

Formula

How It Works

Examples

∫ x² dx

F(x) for f(t)=t from 0

Frequently Asked Questions

What is symbolic integration?

What is the area function?

What functions have symbolic results?

What is +C?

Can I get a specific value?

Related Calculators

Indefinite Integral Calculator

Formula

How It Works

Examples

∫ x² dx

F(x) for f(t)=t from 0

Frequently Asked Questions

What is symbolic integration?

What is the area function?

What functions have symbolic results?

What is +C?

Can I get a specific value?

Related Calculators