Integrals

In Corca, integrals behave like functions, not text. They can be modified, evaluated, nested, and reused inside larger expressions.

Creating an integral

You can create an integral by typing its name and selecting the suggestion. Type integral, select Integral from suggestions. An integral structure appears with editable placeholders: (∫_^)(*d()).

Writing the integral

The integrand is the expression being integrated: (∫_0^1)(x2*d(x)).

You can write any valid mathematical expression inside the integral:

• (∫_^)(x*d(x))

• (∫_^)(sin(x)*d(x))

• (∫_^)((x2+3*x+1)*d(x))

Nested integrals

Integrals can be nested to represent multiple dimensions: (∫_^)((∫_^)(ƒ(x,y)*d(x))*d(y)).

Each integral remains a separate structured object.

Specialized integrals

Corca supports several specialized integral symbols used in physics, engineering, and advanced mathematics. These integrals behave like standard integrals but carry additional semantic meaning depending on context.

To get it, just type integral and select the one you need from the suggestion.

Integrals in imported content

Integrals imported from LaTeX or other formats are converted into structured expressions. Example input:

\int_0^1 x^2 dx

Result: a structured integral object: (∫_0^1)(x2*d(x)).