Final Answer
$4$
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Step-by-step Solution
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1
Expand the fraction $\frac{x^2+8}{x^2}$ into $2$ simpler fractions with common denominator $x^2$
$\int_{2}^{4}\left(\frac{x^2}{x^2}+\frac{8}{x^2}\right)dx$
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$\int_{2}^{4}\left(\frac{x^2}{x^2}+\frac{8}{x^2}\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function (x^2+8)/(x^2) from 2 to 4. Expand the fraction \frac{x^2+8}{x^2} into 2 simpler fractions with common denominator x^2. Simplify the resulting fractions. Expand the integral \int_{2}^{4}\left(1+\frac{8}{x^2}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{2}^{4}1dx results in: 2.
Final Answer
$4$
Exact Numeric Answer
$4$