$\integral{(1)}{x} $

Evaluate

x+С

Differentiate w.r.t. x

1

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Find the integral of 1 using the table of common integrals rule \int a\mathrm{d}x=ax.

x+С

If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.