Examples for

Calculus is the branch of mathematics studying the rate of change of quantities and the length, area and volume of objects. With the ability to answer questions from single and multivariable calculus, Wolfram|Alpha is a great tool for computing limits, derivatives and integrals and their applications, including tangent lines, extrema, arc length and much more.

Compute definite and indefinite integrals of functions. Integrate with respect to one or more variables.

Explore the limit behavior of a function as it approaches a single point or asymptotically approaches infinity.

Compute an indexed product by multiplying a finite or infinite number of terms.

Apply the curl, the gradient and other differential operators to scalar and vector fields.

Find discontinuities and continuous intervals of a function. Also determine whether particular discontinuities are removable or infinite due to an asymptote.

Take the derivative of single or multivariate functions. Compute the partial derivative of expressions with more than one variable.

Calculate and examine sequences of integers or other numerical values. Find continuations and formulas for known or unknown sequences.

Find Taylor series, Laurent series and more about any point.

Calculate the Fourier transform, Laplace transform and other integral transforms of functions.

Step-by-Step Solutions for Calculus

Calculus Web App

Free Unlimited Calculus Practice Problems

Compute the value of indexed summations, or sums of sequences of values. Compute infinite sums and find convergence conditions.

Use calculus tools, such as integrals and derivatives, to calculate properties of curves, surfaces, solids and planar regions.

Compute the domain and range of real mathematical functions. Plot the domain and range on a number line.