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\int 2\mathrm{d}x
Evaluate the indefinite integral first.
2x
Find the integral of 2 using the table of common integrals rule \int a\mathrm{d}x=ax.
2\times 2-2\left(-1\right)
The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.
6
Simplify.