Final answer to the problem
$\frac{199}{3}$
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1
Expand the integral $\int_{7}^{8}\left(x^2+10\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
$\int_{7}^{8} x^2dx+\int_{7}^{8}10dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate the function x^2+10 from 7 to 8. Expand the integral \int_{7}^{8}\left(x^2+10\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{7}^{8} x^2dx results in: \frac{512}{3}-\frac{343}{3}. Gather the results of all integrals. Combine fractions with common denominator 3.
Final answer to the problem
$\frac{199}{3}$
Exact Numeric Answer
$66.333333$
