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Integrate the function $\frac{n+5}{n^2}$ from $1$ to $\infty $

Step-by-step Solution

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Solution

Formulas

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Final answer to the problem

The integral diverges.

Step-by-step Solution

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Learn how to solve improper integrals problems step by step online. Integrate the function (n+5)/(n^2) from 1 to infinity. The integral of a constant is equal to the constant times the integral's variable. Add the initial limits of integration. Replace the integral's limit by a finite value. Evaluate the definite integral.

Final answer to the problem

The integral diverges.

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Function Plot

Plotting: $\frac{n+5}{n^2}$

Similar Problems Solved

Evaluate the integral

$\int_0^{\infty}\left(\frac{1}{x^2}\right)dx$

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$\int_1^{\infty}\left(\frac{1}{x^2}\right)dx$

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$\int_1^{\infty}\left(\frac{ln\left(x\right)}{x}\right)dx$

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$\int_1^{\infty}\left(\frac{1}{x^3}\right)dx$

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$\int_{-\infty}^0\left(\frac{1}{\sqrt{3-x}}\right)dx$

Main Topic: Improper Integrals

An improper integral is the limit of a definite integral as an endpoint of the interval(s) of integration approaches either a specified real number that is not part of the function's domain, or infinity.

Used Formulas

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