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Integrate the function $\frac{x+1}{x^2-25}$ from 0 to $2$

Step-by-step Solution

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Final Answer

The integral diverges.

Step-by-step Solution

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Expand the fraction $\frac{x+1}{x^2-25}$ into $2$ simpler fractions with common denominator $x^2-25$

$\int_{0}^{2}\left(\frac{x}{x^2-25}+\frac{1}{x^2-25}\right)dx$

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$\int_{0}^{2}\left(\frac{x}{x^2-25}+\frac{1}{x^2-25}\right)dx$

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Learn how to solve problems step by step online. Integrate the function (x+1)/(x^2-25) from 0 to 2. Expand the fraction \frac{x+1}{x^2-25} into 2 simpler fractions with common denominator x^2-25. Expand the integral \int_{0}^{2}\left(\frac{x}{x^2-25}+\frac{1}{x^2-25}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{2}\frac{x}{x^2-25}dx results in: undefined. The integral \int_{0}^{2}\frac{1}{x^2-25}dx results in: undefined.

Final Answer

The integral diverges.

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Function Plot

Plotting: $\frac{x+1}{x^2-25}$

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