Definite Integral Calculator

Calculate the definite integral using Simpson's rule numerical method.

  • Free Online Tool
  • Instant Results
  • Mobile Friendly
  • No Installation
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Understanding This Calculator

Definite Integral (Simpson's Rule)

Approximates the area under the curve y = f(x) from a to b.

∫ from a to b of f(x) dx ≈ (b-a)/6 * [f(a) + 4f((a+b)/2) + f(b)]

Example 1

∫ x dx from 0 to 2

  • Exact: [x²/2] from 0 to 2 = 2 - 0 = 2

Example 2

∫ x² dx from 0 to 3

  • Exact: [x³/3] from 0 to 3 = 27/3 - 0 = 9

How to Use

  • Enter the function f(x).
  • Enter lower and upper bounds.

Frequently Asked Questions

How do I use the Definite Integral Calculator?

Enter your values in the input fields, and the result will appear instantly.

Is this calculator free to use?

Yes, this calculator is 100% free and does not require any registration or subscription.

Is it mobile-friendly?

Absolutely! Our tool is optimized for all devices, including mobile phones, tablets, and desktop computers.