Integral Calculator
Compute the antiderivative of ax^n using the power rule.
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Introduction
Integral Calculator — Compute the antiderivative of ax^n using the power rule. Enter Coefficient a, Exponent n, x to get an instant, accurate result.
Formula
∫a×xⁿ dx = (a/(n+1))×x^(n+1) + C, evaluated exactly at the given x (constant of integration C omitted from the numeric value).
Step-by-step
- Enter the Coefficient a.
- Enter the Exponent n.
- Enter the x.
- Click Calculate to see your result instantly.
Real-world example
Example: With Coefficient a = 2, Exponent n = 3, x = 2, the Integral Calculator gives Coefficient: 0.5, Exponent: 4, Value At X: 8.
Frequently Asked Questions
What if n = −1?
The power rule doesn't apply — that case requires an a×ln|x| term instead, so the calculator reports it can't compute that.
Is this a definite or indefinite integral?
Indefinite (the general antiderivative), evaluated at a single x rather than between two bounds.
What inputs does the Integral Calculator need?
You'll need to provide: Coefficient a, Exponent n, x. All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Integral Calculator?
The Integral Calculator applies the formula exactly as calculated — ∫a×xⁿ dx = (a/(n+1))×x^(n+1) + C, evaluated exactly at the given x (constant of integration C omitted from the numeric value). — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Integral Calculator free to use?
Yes, the Integral Calculator is completely free, requires no signup, and runs instantly in your browser.
About the Integral Calculator
The Integral Calculator uses a real, verifiable formula — ∫a×xⁿ dx = (a/(n+1))×x^(n+1) + C, evaluated exactly at the given x (constant of integration C omitted from the numeric value). — so results are accurate every time, not an approximation.