Question
First make a substitution and then use integration by parts to evaluate the integral.$ \displaystyle \int \frac{\arcsin (\ln x)}{x} dx $
Step 1
Let $y = \ln x$. Then, $dy = \frac{1}{x} dx$ and $x = e^y$. So, the integral becomes \[ \int \arcsin y \, dy \] Show more…
Show all steps
Your feedback will help us improve your experience
Wen Zheng and 77 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
First make a substitution and then use integration by parts to evaluate the integral. $\int \frac{\arcsin (\ln x)}{x} d x$
Techniques of Integration
Integration by Parts
First make a substitution and then use integration by parts to evaluate the integral. $ \displaystyle \int \cos (\ln x) dx $
First make a substitution and then use integration by parts to evaluate the integral. $\int \sin (\ln x) d x$
Integrals
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD