Evaluate the improper integral: $$\int _ { 7 } ^ { \infty } \frac { 1 } { ( x - 5 ) \ln ( x - 5 ) } d x$$ Round your answer to two decimal places, if necessary.
A) 0.69
B) Undefined
C) -0.37
D) 1.95

Question

Quizplus · Accepted Answer

The integral involves a logarithmic function in the denominator which can lead to undefined behavior at certain points, especially considering the limits of integration stretch to infinity. Additionally, evaluating the integral directly or through substitution does not yield a simple, finite value, indicating that the integral is likely divergent or undefined.

Evaluate the Improper Integral ∫7∞1(x−5)ln⁡(x−5)dx\int _ { 7 } ^ { \infty } \frac { 1 } { ( x - 5 ) \ln ( x - 5 ) } d x∫7∞​(x−5)ln(x−5)1​dx

Evaluate the Improper Integral $\int _ { 7 } ^ { \infty } \frac { 1 } { ( x - 5 ) \ln ( x - 5 ) } d x$