Integral of $$$f$$$ with respect to $$$x$$$

The calculator will find the integral/antiderivative of $$$f$$$ with respect to $$$x$$$, with steps shown.

Related calculator: Definite and Improper Integral Calculator

Please write without any differentials such as $$$dx$$$, $$$dy$$$ etc.
Leave empty for autodetection.

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Your Input

Find $$$\int f\, dx$$$.

Solution

Apply the constant rule $$$\int c\, dx = c x$$$ with $$$c=f$$$:

$${\color{red}{\int{f d x}}} = {\color{red}{f x}}$$

Therefore,

$$\int{f d x} = f x$$

Add the constant of integration:

$$\int{f d x} = f x+C$$

Answer

$$$\int f\, dx = f x + C$$$A


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