Area Under the curve calculator

For curves below the x-axis, a definite integral gives signed area; geometric area may require an absolute value or splitting the interval. Formula: Area = ∫ₐᵇ f(x)dx when f(x) ≥ 0 on [a,b]

Loading...

Please wait... loading-icon

On this page:

Calculate Area Under the Curve

For curves below the x-axis, a definite integral gives signed area; geometric area may require an absolute value or splitting the interval.

Formula: Area = ∫ₐᵇ f(x)dx when f(x) ≥ 0 on [a,b]

Check the function, variable and any domain or bounds before calculating. Differentiation and integration results depend on the expression and conditions supplied, so an algebraically valid result still needs to match the original problem.

Check the result by differentiating or integrating the displayed expression as appropriate and confirm the required domain or bounds.

Frequently Asked Questions FAQ

What does Area Under the Curve Calculator calculate?
For curves below the x-axis, a definite integral gives signed area; geometric area may require an absolute value or splitting the interval.
What is the formula for Area Under the Curve Calculator?
The formula used by the calculator is: Area = ∫ₐᵇ f(x)dx when f(x) ≥ 0 on [a,b]
What inputs does Area Under the Curve Calculator need?
Enter the function and lower and upper bounds for the area calculation.
How can I verify the Area Under the Curve Calculator result?
Check the result by differentiating or integrating the displayed expression as appropriate and confirm the required domain or bounds.
How should I round the Area Under the Curve Calculator result?
Keep exact values such as fractions or radicals when useful, and round only the final numerical result when a decimal answer is required.

Have Feedback or a Suggestion?

Kindy let us know your reveiws about this page

;