Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using trigonometric identities
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
- Load more...
Expand the fraction $\frac{2x+1}{\sqrt{x+1}}$ into $2$ simpler fractions with common denominator $\sqrt{x+1}$
Learn how to solve problems step by step online.
$\int\left(\frac{2x}{\sqrt{x+1}}+\frac{1}{\sqrt{x+1}}\right)dx$
Learn how to solve problems step by step online. Find the integral int((2x+1)/((x+1)^1/2))dx. Expand the fraction \frac{2x+1}{\sqrt{x+1}} into 2 simpler fractions with common denominator \sqrt{x+1}. Simplify the expression inside the integral. The integral 2\int\frac{x}{\sqrt{x+1}}dx results in: \frac{4}{3}\sqrt{\left(x+1\right)^{3}}-4\sqrt{x+1}. Gather the results of all integrals.