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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

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Calculus

Trapezoidal Rule Calculator

Approximate the definite integral of a function over [a, b] by summing trapezoid areas across n subintervals. Ideal for numerical integration when an antiderivative is difficult or impossible to find analytically.

Lower Limit (a)

Upper Limit (b)

Number of Subintervals

Average Trapezoid Height

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Key differences

	Definite Integral Calculator	Trapezoidal Rule Calculator
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 the definite integral of a function over [a, b] by summing trapezoid areas across n subintervals. Ideal for numerical integration when an antiderivative is difficult or impossible to find analytically.