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Definite Integral Calculator

Computes the exact area under the curve y = axⁿ + c between two x-values using the Fundamental Theorem of Calculus. Perfect for students solving area, displacement, or accumulation problems.

Coefficient

Power of x

Lower Limit

Upper Limit

Constant Term

Fill in the required fields to see your result.

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	5	4
Result	Definite Integral	Approximate Integral
What it does	Computes the exact area under the curve y = axⁿ + c between two x-values using the Fundamental Theorem of Calculus. Perfect for students solving area, displacement, or accumulation problems.	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.