Exercise
$\int_4^{\infty}\left(\frac{16}{x^2}\right)dx$
Step-by-step Solution
Learn how to solve improper integrals problems step by step online. Integrate the function 16/(x^2) from 4 to infinity. 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 function times a constant (16) is equal to the constant times 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. Simplify the fraction 16\left(\frac{x^{-1}}{-1}\right).
Integrate the function 16/(x^2) from 4 to infinity
Final answer to the exercise
$4$