∫ Calculus
24 free calculus tools. No sign-up. Works on any device.
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Derivative Calculator
Enter a function to find its first and second derivative.
Indefinite Integral Calculator
Find the antiderivative of a function.
Definite Integral Calculator
Enter a function and upper and lower bounds to compute the definite integral ∫ₐᵇ f(x) dx.
Limit Calculator
Enter a function and the point x approaches to evaluate the limit.
Quadratic Equation Solver
Solve ax²+bx+c=0 with roots, discriminant, and vertex.
Average Rate of Change Calculator
Enter a function and two x-values to find the average rate of change (AROC) — the slope...
Instantaneous Rate of Change Calculator
Enter a function and an x-value to find the instantaneous rate of change at that point.
Slope of Tangent Line Calculator
Enter a function and a point x = a to find the slope of the tangent line at that point ...
Linear Approximation Calculator
Enter a function, a base point a, and an x-value near a to get the linearisation L(x) a...
Riemann Sum Calculator
Approximate integrals using left, right, or midpoint sums.
Taylor Series Calculator
Expand a function as a Taylor series around any point.
Maclaurin Series Calculator
A Maclaurin series is a Taylor series centred at a = 0.
Chain Rule Calculator
Enter an outer function g and an inner function u(x) to compute d/dx[g(u(x))] = g'(u(x)...
Product Rule Calculator
Enter two functions f(x) and g(x) to compute d/dx[f(x)·g(x)] = f'(x)g(x) + f(x)g'(x).
Quotient Rule Calculator
Enter numerator f(x) and denominator g(x) to differentiate f(x)/g(x).
Implicit Differentiation Calculator
Find dy/dx for implicitly defined curves.
Arc Length Calculator
Enter a function and integration bounds to compute the arc length of the curve y = f(x)...
Area Between Two Curves Calculator
Enter two functions f(x) and g(x) and integration bounds to compute the area between th...
Volume of Revolution Calculator
Rotate y = f(x) about the x-axis or y-axis between x = a and x = b.
Critical Points Calculator
Enter a function to find all critical points (where f'(x) = 0 or f'(x) is undefined) an...
Inflection Points Calculator
Enter a function to find all inflection points — where the curve changes from concave u...
Concavity Calculator
Enter a function and an interval to determine where the graph is concave up (f''(x) >...
Trapezoidal Rule Calculator
Enter a function, bounds, and number of subintervals to approximate ∫ₐᵇ f(x) dx using t...
Simpson's Rule Calculator
Approximate integrals using Simpson's rule.