Integral | Easy Copy Mathjax

integral

$\int_0^1 f(x) dx$

\int_0^1 f(x) dx

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The symbol "\int" is derived from the concept of integration. The limits of integration are represented using a subscript and a superscript.

integral large

$\displaystyle \int_{-\infty}^{ \infty } f(x) dx$

\displaystyle \int_{-\infty}^{ \infty } f(x) dx

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Adding "\displaystyle" causes the expression to be displayed in a larger format. When including multiple symbols within the integral section, they are enclosed in curly brackets.

integral sample

$\begin{eqnarray} \int_0^1 x dx = \left[ \frac{x^2}{2} \right]_0^1 = \frac{1}{2} \end{eqnarray}$

\begin{eqnarray}
\int_0^1 x dx
= \left[ \frac{x^2}{2} \right]_0^1
= \frac{1}{2}
\end{eqnarray}

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Here is an example of a integral calculation:

double integral

$\iint_D f(x,y) dxdy$

\iint_D f(x,y) dxdy

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By stacking the symbol "i" (integral) multiple times, such as "\iint" for double integral, "\iiint" for triple integral, and "\iiiint" for quadruple integral, we represent iterated integrals.

multiple integral

$\idotsint_D f(x_1, x_2, \ldots , x_n) dx_1 \cdots dx_n$

\idotsint_D f(x_1, x_2, \ldots , x_n) dx_1 \cdots dx_n

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By combining "int", "dots", and "int" together, we get the symbol "idotsint."

contour integral

$\oint_C f(z) dz$

\oint_C f(z) dz

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The symbol "oint" represents a contour integral, where the "o" attached to the "int".