Exercise
$\int_0^2\frac{3}{x^4}dx$
Step-by-step Solution
Learn how to solve problems step by step online. Integrate the function 3/(x^4) from 0 to 2. 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 -4. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.
Integrate the function 3/(x^4) from 0 to 2
Final answer to the exercise
The integral diverges.