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\int _{0}^{1}\frac{7}{12}\mathrm{d}x
Reduce the fraction \frac{21}{36} to lowest terms by extracting and canceling out 3.
\int \frac{7}{12}\mathrm{d}x
Evaluate the indefinite integral first.
\frac{7x}{12}
Find the integral of \frac{7}{12} using the table of common integrals rule \int a\mathrm{d}x=ax.
\frac{7}{12}\times 1-\frac{7}{12}\times 0
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.
\frac{7}{12}
Simplify.