Final answer to the problem
$-3\ln\left|x+2\right|+x+C_1$
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Step-by-step Solution
How should I solve this problem?
- Find the integral
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Load more...
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1
Find the integral
$\int\frac{x-1}{x+2}dx$
Learn how to solve integral calculus problems step by step online.
$\int\frac{x-1}{x+2}dx$
Learn how to solve integral calculus problems step by step online. Find the integral of f(x)=(x-1)/(x+2). Find the integral. Expand the fraction \frac{x-1}{x+2} into 2 simpler fractions with common denominator x+2. Expand the integral \int\left(\frac{x}{x+2}+\frac{-1}{x+2}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{x}{x+2}dx results in: x+2-2\ln\left(x+2\right).
Final answer to the problem
$-3\ln\left|x+2\right|+x+C_1$
