Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Find the integral
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
- Load more...
Find the integral
Add the values $5$ and $6$
Divide $x^2+11+x$ by $x+1$
Resulting polynomial
Expand the integral $\int\left(x+\frac{11}{x+1}\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
The integral $\int xdx$ results in: $\frac{1}{2}x^2$
The integral $\int\frac{11}{x+1}dx$ results in: $11\ln\left(x+1\right)$
Gather the results of all integrals
As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$