∫Calculus Calculators
Free calculus tools that visualise and explain — derivatives, integrals, limits and more with full working shown.
Approximate the area under a curve with left, right, midpoint, and trapezoidal Riemann sums, visualised against the function.
Differentiate functions step by step showing chain, product and quotient rules.
Compute definite integrals with Simpson's rule and see antiderivatives.
Evaluate limits with algebraic steps and L'Hôpital's rule where needed.
Expand functions as Taylor series and plot partial sums.
Calculate the arc length of a curve with the formula and graph.
Find volumes using the disk or shell method with a 3D visual.
Find critical points and classify them using the first derivative test.
Differentiate implicit equations step by step with clear dy/dx notation.
Solve related rates problems for ladders, tanks, shadows and more.
Approximate integrals using Simpson's rule and the trapezoidal rule.
Solve separable and linear first-order ODEs with steps shown.
About these calculus calculators
These calculus tools show every step of the solution alongside interactive graphs and animations. Differentiate functions and see which rules were applied — chain, product, quotient — at each stage. Approximate integrals with animated Riemann sums and watch the approximation improve as you increase the number of rectangles.
Every tool runs entirely in your browser, with no signup required. Whether you're learning calculus for the first time or double-checking your work on a complex problem, these calculators are built to be used immediately.