Final answer to the problem
The integral diverges.
Step-by-step Solution
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- Integrate by partial fractions
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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1
Expand the fraction $\frac{3x+4}{x-2}$ into $2$ simpler fractions with common denominator $x-2$
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$\int_{0}^{1}\left(\frac{3x}{x-2}+\frac{4}{x-2}\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function (3x+4)/(x-2) from 0 to 1. Expand the fraction \frac{3x+4}{x-2} into 2 simpler fractions with common denominator x-2. Simplify the expression. The integral 3\int_{0}^{1}\frac{x}{x-2}dx results in: undefined. The integral \int_{0}^{1}\frac{4}{x-2}dx results in: undefined.
Final answer to the problem
The integral diverges.
