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Definite Integral Calculator

Numerically evaluates the definite integral of a power function ax^n over a specified interval. Choose from Simpson's Rule, Trapezoidal Rule, or the Midpoint Rectangle Method for your approximation.

Coefficient (a)

Exponent (n)

Lower Limit

Upper Limit

Number of Intervals

Integration Method

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Calculus

Rectangular Rule Integration

Approximate a definite integral using a rectangular (midpoint-style) rule with a chosen number of subintervals and an averaged function value. Returns the area of a single representative rectangle of width Δx.

Lower Bound (a)

Upper Bound (b)

Number of Intervals (n)

Average Function Value

Fill in the required fields to see your result.

Key differences

	Definite Integral Calculator	Rectangular Rule Integration
Category	Calculus	Calculus
Inputs required	6	4
Result	Definite Integral	Approximate Integral
What it does	Numerically evaluates the definite integral of a power function ax^n over a specified interval. Choose from Simpson's Rule, Trapezoidal Rule, or the Midpoint Rectangle Method for your approximation.	Approximate a definite integral using a rectangular (midpoint-style) rule with a chosen number of subintervals and an averaged function value. Returns the area of a single representative rectangle of width Δx.