Integration by Completing the Square Calculator
Result
Integration by Completing the Square Calculator The Integration by Completing the Square Calculator rewrites a quadratic ax² + bx + c in vertex form a(x + d)² + e, which is the key step for integrating or finding the vertex. Enter a, b and c. — free online calculator.
Formula
- Integration by Completing the Square Calculator calculates its result from A, C, X, B. It uses the formula ax² + bx + c = a(x + b/2a)² + (c − b²/4a). Change any input to recalculate the result instantly.
- The main inputs are a, b, c. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Integration by Completing the Square
- a: 1 x² coefficient
- b: 6 x coefficient
- c: 5 constant
Using A = 2, C = 3, X = 4, B = 5, the calculated result is 152.5.
Sample result: Calculating…
Frequently asked questions
What does the Integration by Completing the Square calculate?
Integration by Completing the Square Calculator The Integration by Completing the Square Calculator rewrites a quadratic ax² + bx + c in vertex form a(x + d)² + e, which is the key step for integrating or finding the vertex. Enter a, b and c. — free online calculator.
Which values should I enter?
Enter a, b, c using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: ax² + bx + c = a(x + b/2a)² + (c − b²/4a).
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.