Determine whether the improper integral converges or diverges, and find the value of each that converges.
∫^[infinity]_1 ln |x| dx

Answer

Given

Improper Integral I is given as  

using ilate rule

now,

putting limits of integrals

now, we are not able to find the solution of the above equation.

hence, the integral donot converges to a single point.

so, we can say that the integral is diverging in nature.

the answer is c: divide the arc's degree measure by 360°, then multiply by the circumference of the circle.