Question
$5-40$ Determine whether each integral is convergent or divergent. Evaluate those that are convergent.$$\int_{0}^{1} \frac{\ln x}{\sqrt{x}} d x$$
Step 1
Step 1: First, we rewrite the integral using limits as follows: $$\int_{0}^{1} \frac{\ln x}{\sqrt{x}} dx = \lim_{a \to 0^{+}} \int_{a}^{1} \frac{\ln x}{\sqrt{x}} dx$$ Show more…
Show all steps
Your feedback will help us improve your experience
Sriram Soundarrajan and 60 other Calculus 2 / BC 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
5-40 Determine whether each integral is convergent or divergent. Evaluate those that are convergent. $$ \int_{1}^{=} \frac{\ln x}{x} d x $$
Techniques of Integration
Improper Integrals
$5-40$ Determine whether each integral is convergent or divergent. Evaluate those that are convergent. $$\int_{1}^{\infty} \frac{e^{-\sqrt{x}}}{\sqrt{x}} d x$$
$5-40$ Determine whether each integral is convergent or divergent. Evaluate those that are convergent. $$\int_{1}^{\infty} \frac{\ln x}{x} d x$$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
