Symbolic Calculus
Derivative and Integral Calculator for Windows
Real reciprocal integration (introduced in 3.0)
integrate(1/x)Returns ln(abs(x)) + C. This real antiderivative applies separately on x > 0 and x < 0; it is undefined at zero and the two intervals may have independent constants.
The supported finite definite path for 1/x and admitted nonzero literal multiples accepts same-side nonzero bounds. For 1/x, [1, 2] gives ln(2); [â2, â1] gives âln(2). Reversing limits negates the result. Zero crossings or endpoints are refused; there is no principal-value fallback or general improper-integral engine. Differentiating abs remains unsupported.
SumWise supports common derivative and integral workflows in a focused Windows desktop app. You can calculate supported symbolic results, graph functions, and connect calculus commands to visual overlays.
What You Can Do
- Differentiate supported symbolic expressions.
- Integrate supported expressions.
- Graph functions and symbolic derivatives together.
- Show tangent lines, shaded integral areas, critical points, and extrema where supported.
- Use Function Reference details, examples, and argument hints to learn syntax.
Typed commands and contextual next steps
Type a supported command below for direct calculus input. The contextual CAS actions offered for an eligible polynomial result have narrower eligibility: choose a next step, inspect the inserted command, then evaluate separately. They do not replace the broader documented typed interface.
To compare a function and its derivative, use an explicit range in the 2D graphing workflow. Surface derivatives use the separate restricted X/Y inspector.
Examples To Try
derivative(x^3)
derivative(sin(x^2))
integrate(x^2)
integrate(sin(x))
graph sin(x), derivative(sin(x)) from -6.28 to 6.28
graph_area(sin(x), 0, pi) from -1 to 4
tangent_line(x^2, x, 2)
definite_integral(x^2, x, 0, 3)
critical_points(x^2 - 4*x + 4, x)
extrema(x^2 - 4*x + 4, x)Honest Scope
SumWise includes scoped symbolic math for supported expressions and visual calculus helpers for supported polynomial workflows. Some advanced symbolic cases may not reduce or solve the same way a dedicated full symbolic algebra system would.