Question
Use partial fractions to find the integral.$\int \frac{4 x^{2}+2 x-1}{x^{3}+x^{2}} d x$
Step 1
We can take $x^{2}$ common from $x^{3}+x^{2}$, which gives us $x^{2}(x+1)$. So, the integral becomes $\int \frac{4 x^{2}+2 x-1}{x^{2}(x+1)} d x$. Show more…
Show all steps
Your feedback will help us improve your experience
Darshan Maheshwari and 96 other Calculus 1 / AB 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
Use partial fractions to find the integral. $\int \frac{4 x^{2}}{x^{3}+x^{2}-x-1} d x$
Integration Techniques, L’Hopital’s Rule, and Improper Integrals
Partial Fractions
Use partial fractions to find the indefinite integral. $$ \int \frac{4 x^{2}+2 x-1}{x^{3}+x^{2}} d x $$
Techniques of Integration
Partial Fractions and Logistic Growth
Use partial fractions to find the integral. $\int \frac{x^{2}+3 x-4}{x^{3}-4 x^{2}+4 x} d x$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD