8 calculators in this category
- Indefinite Integral CalculatorStandard integration rules: power, substitution, by partsEnter a function and this calculator finds its antiderivative, splitting the integrand into terms and reporting which rule…
- Definite Integral CalculatorFundamental Theorem of Calculus; adaptive Simpson quadratureEnter an integrand and two limits and this calculator evaluates the definite integral by adaptive Simpson quadrature, refining…
- Riemann Sum Calculator (Left, Right, Midpoint)Riemann integration; composite Newton–Cotes rulesEnter a function, an interval and a number of subintervals, and this calculator builds the Riemann sum term by term: it shows…
- Trapezoidal Rule CalculatorComposite trapezoidal rule with the classical second-derivative error boundThe trapezoidal rule joins consecutive points on a curve with straight lines and adds the areas of the resulting trapezoids…
- Simpson's Rule CalculatorComposite Simpson's 1/3 and 3/8 rules with the classical fourth-derivative error boundSimpson's rule fits a parabola through every consecutive triple of points and integrates the parabolas instead of the function…
- Area Between Curves CalculatorA = ∫ |f(x) − g(x)| dx, split at each intersectionEnter two functions and this calculator finds every point where they cross inside your search window, integrates the gap…
- Arc Length of a Curve Calculator (Integral Form)Arc-length integral; composite Simpson quadratureGive this calculator a curve — explicitly as y = f(x) , parametrically as x(t) and y(t) , or in polar form as r(θ) — together…
- Volume of Revolution Calculator (Disk & Washer Method)Disk and washer integrals for solids of revolutionEnter the outer boundary of your region, the inner boundary if there is a hole, the axis you are revolving about and the…
Which one do you need?
- Indefinite Integral Calculator
- Find the antiderivative of a function term by term, see which rule handled each piece, and check the answer automatically by differentiating it back to the integrand.
- Definite Integral Calculator
- Evaluate the integral of any function between two limits by adaptive Simpson quadrature, with an error estimate, the unsigned area and a convergence table.
- Riemann Sum Calculator (Left, Right, Midpoint)
- Compute left, right, midpoint or trapezoid sums with n rectangles, see every sample point and area, and compare the result against the exact integral and its error.
- Trapezoidal Rule Calculator
- Apply the composite trapezoidal rule to any function, see every node and weight in a table, and compare the estimate against the exact value and the error bound.
- Simpson's Rule Calculator
- Apply Simpson's 1/3 or 3/8 rule to any function, see the node table and coefficient pattern, and compare the estimate against the exact value and the error bound.
- Area Between Curves Calculator
- Find where two curves cross and integrate the gap between them to get the enclosed area, split into sub-regions with the top curve identified for each piece.
- Arc Length of a Curve Calculator (Integral Form)
- Compute the length of a curve given as y = f(x), as x(t) and y(t), or as r(θ). See the integrand, the quadrature detail, the chord distance and the sinuosity.
- Volume of Revolution Calculator (Disk & Washer Method)
- Find the volume of a solid of revolution by the disk or washer method about any horizontal or vertical axis, with the radii and a cross-section table.