Calculus Calculators
39 free tools for derivatives, integrals, series, and limits. Step-by-step solutions.
Integrals & Integration
∫
Antiderivative Calculator
Find indefinite integrals with step-by-step solutions.
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∫ab
Definite Integral Calculator
Calculate the area under a curve between two specific points.
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∬
Double Integral Calculator
Compute integrals over 2D regions (Cartesian or Polar).
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∭
Triple Integral Calculator
Solve volume problems using integrals in 3D space.
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uv
Integration by Parts Calculator
Solve product integrals using the ∫udv = uv – ∫vdu formula.
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A
Area Between Curves Calculator
Calculate the geometric area bounded by two functions.
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L
Arc Length Calculator
Determine the length of a curve segment over an interval.
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x̄
Centroid Calculator
Find the center of mass (geometric center) of a region.
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Σ
Riemann Sum Calculator
Approximate area using Left, Right, or Midpoint sums.
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Tr
Trapezoidal Rule Calculator
Approximate definite integrals using trapezoids.
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S
Simpson’s Rule Calculator
High-accuracy numerical integration using quadratic approximations.
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Derivatives & Differentiation
f″
Second Derivative Calculator
Find higher-order derivatives to analyze concavity.
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dy
Implicit Differentiation Calculator
Differentiate equations where y is not isolated.
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∂
Partial Derivative Calculator
Compute derivatives of multivariable functions (∂f/∂x).
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∇
Gradient Calculator
Find the gradient vector field of a scalar function.
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J
Jacobian Calculator
Calculate the determinant of the Jacobian matrix.
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×
Curl Calculator
Determine the rotation of a 3D vector field.
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/
Tangent Line Calculator
Find the equation of the line tangent to a curve.
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≈
Linear Approximation Calculator
Estimate function values using the tangent line.
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Limits & Analysis
lim
Limit Calculator
Evaluate limits as x approaches a value or infinity.
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D/R
Domain and Range Calculator
Identify valid inputs and possible outputs of a function.
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⫽
Asymptote Calculator
Find vertical, horizontal, and oblique asymptotes.
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min
Critical Point Calculator
Locate local maxima, minima, and saddle points.
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∿
Inflection Point Calculator
Find points where the concavity of a curve changes.
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∪
Concavity Calculator
Determine intervals where a function is concave up or down.
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∞
End Behavior Calculator
Analyze how a function behaves as x → ±∞.
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Δy
Difference Quotient Calculator
Calculate the slope of the secant line (pre-derivative).
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Δx
Average Rate Of Change Calculator
Find the average change over a specific interval.
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A/x
Partial Fraction Decomposition Calculator
Break down complex rational functions into simpler terms.
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Sequences & Series
Tn
Taylor Series Calculator
Approximate functions using infinite polynomial sums.
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Σx
Power Series Calculator
Find the power series representation of a function.
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arⁿ
Geometric Series Calculator
Evaluate finite and infinite geometric sequences.
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sin
Fourier Series Calculator
Decompose periodic functions into sines and cosines.
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R
Radius & Interval Calculator
Find the radius and interval of convergence for a series.
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an
Ratio Test Calculator
Determine convergence using the limit of ratios.
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Differential Equations
ℒ
Laplace Transform Calculator
Convert time-domain functions to s-domain functions.
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ℒ⁻¹
Inverse Laplace Transform Calculator
Convert s-domain functions back to the time domain.
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W
Wronskian Calculator
Test for linear independence of solutions.
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y’
Euler’s Method Calculator
Solve first-order differential equations numerically.
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