# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int_2^{\infty}\left(\frac{4}{x^2}\right)dx$

Learn how to solve definite integrals problems step by step online.

$\lim_{c\to\infty }\:\int_{2}^{c}\frac{4}{x^2}dx$

Learn how to solve definite integrals problems step by step online. Integrate 4/(x^2) from 2 to \infty. Replace the integral's limit by a finite value. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as -2.

$2$
$\int_2^{\infty}\left(\frac{4}{x^2}\right)dx$