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
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Find the integral
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$\int\left(\frac{2}{x+1}+\frac{1}{\left(x+1\right)^2}+\frac{-3}{x+1}+\frac{4}{\left(x+1\right)^2}\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function 2/(x+1)+1/((x+1)^2)-3/(x+1)4/((x+1)^2). Find the integral. Expand the integral \int\left(\frac{2}{x+1}+\frac{1}{\left(x+1\right)^2}+\frac{-3}{x+1}+\frac{4}{\left(x+1\right)^2}\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{2}{x+1}dx results in: 2\ln\left(x+1\right). The integral \int\frac{1}{\left(x+1\right)^2}dx results in: \frac{1}{-\left(x+1\right)}.