Integral of $$$\frac{1}{u^{2}}$$$ with respect to $$$x$$$

The calculator will find the integral/antiderivative of $$$\frac{1}{u^{2}}$$$ with respect to $$$x$$$, with steps shown.

Related calculator: Definite and Improper Integral Calculator

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Your Input

Find $$$\int \frac{1}{u^{2}}\, dx$$$.

Solution

Apply the constant rule $$$\int c\, dx = c x$$$ with $$$c=\frac{1}{u^{2}}$$$:

$${\color{red}{\int{\frac{1}{u^{2}} d x}}} = {\color{red}{\frac{x}{u^{2}}}}$$

Therefore,

$$\int{\frac{1}{u^{2}} d x} = \frac{x}{u^{2}}$$

Add the constant of integration:

$$\int{\frac{1}{u^{2}} d x} = \frac{x}{u^{2}}+C$$

Answer

$$$\int \frac{1}{u^{2}}\, dx = \frac{x}{u^{2}} + C$$$A


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