\int \frac{dx}{x(ln(x))^4} =
Added by Justin W.
Close
Step 1
f'(x) = (x)(d/dx(ln(x))) + (ln(x))(d/dx(x)) = (x)(1/x) + (ln(x))(1) = 1 + ln(x) Now, let's find the critical points of f(x) by setting f'(x) = 0 and solving for x. 1 + ln(x) = 0 ln(x) = -1 x = e^(-1) x = 1/e Show more…
Show all steps
Your feedback will help us improve your experience
Darshan Maheshwari and 88 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
∫ ln(1 - x²) dx
Piyush Kumar G.
Calc2
Hanlin S.
Calculate. $$\int \frac{d x}{x \ln 5}$$
The Transcendental Functions
Arbitrary Powers: Other Basis
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD