Question
Evaluate the integral.$ \displaystyle \int \frac{x + \arcsin x}{\sqrt{1 - x^2}}\ dx $
Step 1
Step 1: Split the integral into two separate integrals: \[ \int \frac{x + \arcsin x}{\sqrt{1 - x^2}}\ dx = \int \frac{x}{\sqrt{1 - x^2}}\ dx + \int \frac{\arcsin x}{\sqrt{1 - x^2}}\ dx \] Show more…
Show all steps
Your feedback will help us improve your experience
J Hardin and 78 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
Evaluate the integral. $$ \int \frac{x+\arcsin x}{\sqrt{1-x^{2}}} d x $$
Techniques of Integration
Strategy for Integration
Calculate the integrals. $$ \int \frac{x+\arcsin (x)}{\sqrt{1-x^{2}}} d x $$
The Integral
Integration by Substitution
Evaluate the integral. $ \displaystyle \int (\arcsin x)^2 dx $
Integration by Parts
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD