Exercise
$\int_2^3\left(\frac{1}{\left(x-2\right)^{\frac{3}{2}}}\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Integrate the function 1/((x-2)^(3/2)) from 2 to 3. Apply the formula: \int\frac{n}{\left(x+a\right)^c}dx=\frac{-n}{\left(c-1\right)\left(x+a\right)^{\left(c-1\right)}}+C, where a=-2, c=\frac{3}{2} and n=1. Simplify the expression. Replace the integral's limit by a finite value. Evaluate the definite integral.
Integrate the function 1/((x-2)^(3/2)) from 2 to 3
Final answer to the exercise
The integral diverges.