Exercise
$\int_1^{\infty}\left(\frac{2.865}{x^{0.88}}\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Integrate the function 2.865/(x^0.88) from 1 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 (2.865) 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 -0.88. Add the initial limits of integration.
Integrate the function 2.865/(x^0.88) from 1 to infinity
Final answer to the exercise
The integral diverges.