Double Integral Calculator
Calculate double integrals numerically using midpoint, trapezoidal, and Simpson's rule methods with detailed step-by-step solutions
Function and Bounds
Supported: +, -, *, /, ^, sin, cos, tan, ln, log, sqrt, abs, exp, pi, e
Range: 10-500 (higher = more accurate but slower)
Integration Methods
Midpoint Rule
Evaluates function at the center of each rectangular subdivision. Simple and generally reliable.
Trapezoidal Rule
Uses linear interpolation between grid points. Good for smooth functions.
Simpson's Rule
Uses quadratic interpolation. Most accurate for polynomial functions but requires even subdivisions.
Usage Tips
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Use parentheses for complex expressions: (x+1)*(y-2)
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Higher subdivisions give more accurate results but take longer to compute
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Try different methods to verify your results
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Use ^ for exponentiation: x^2 + y^2