Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by parts
- Integrate by partial fractions
- Integrate by substitution
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Find the integral
Learn how to solve integral calculus problems step by step online.
$\int\left(\frac{x+1}{x}\right)^2dx$
Learn how to solve integral calculus problems step by step online. Integrate the function ((x+1)/x)^2. Find the integral. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Rewrite the fraction \frac{\left(x+1\right)^2}{x^2} inside the integral as the product of two functions: \left(x+1\right)^2\frac{1}{x^2}. We can solve the integral \int\left(x+1\right)^2\frac{1}{x^2}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.