Integral of $$$\sqrt{a} - 1$$$ with respect to $$$x$$$

The calculator will find the integral/antiderivative of $$$\sqrt{a} - 1$$$ with respect to $$$x$$$, with steps shown.

Find $$$\int \left(\sqrt{a} - 1\right)\, dx$$$.

Apply the constant rule $$$\int c\, dx = c x$$$ with $$$c=\sqrt{a} - 1$$$:

$${\color{red}{\int{\left(\sqrt{a} - 1\right)d x}}} = {\color{red}{x \left(\sqrt{a} - 1\right)}}$$

Therefore,

$$\int{\left(\sqrt{a} - 1\right)d x} = x \left(\sqrt{a} - 1\right)$$

Add the constant of integration:

$$\int{\left(\sqrt{a} - 1\right)d x} = x \left(\sqrt{a} - 1\right)+C$$

$$$\int \left(\sqrt{a} - 1\right)\, dx = x \left(\sqrt{a} - 1\right) + C$$$A

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