📐 Area Under Curve Calculator
Calculate definite integrals instantly with our advanced AUC tool. Perfect for students and professionals in calculus, physics, and engineering.
📈 Calculation Process
The calculator uses numerical integration methods to approximate the area under curves. For the trapezoidal rule, it divides the area into multiple trapezoids and sums their areas. Simpson's rule uses parabolic arcs for better accuracy with smooth functions.
📊 AUC Value Table
| Function | Lower Limit | Upper Limit | Area |
|---|
❓ Frequently Asked Questions
What is an area under curve calculator?
An AUC calculator computes the definite integral of mathematical functions between specified limits, providing the area under the curve. Essential for calculus students and professionals in science and engineering fields.
How accurate are the results?
Accuracy depends on the method used. Simpson's Rule (≈95% accurate for smooth functions) generally provides better results than Trapezoidal Rule (≈85% accurate). Both methods improve with more intervals.