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- 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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Expand the fraction $\frac{5x+1}{x+5}$ into $2$ simpler fractions with common denominator $x+5$
Learn how to solve definite integrals problems step by step online.
$\int_{0}^{4}\left(\frac{5x}{x+5}+\frac{1}{x+5}\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function (5x+1)/(x+5) from 0 to 4. Expand the fraction \frac{5x+1}{x+5} into 2 simpler fractions with common denominator x+5. Simplify the expression inside the integral. The integral 5\int_{0}^{4}\frac{x}{x+5}dx results in: 5.3053334. The integral \int_{0}^{4}\frac{1}{x+5}dx results in: \ln\left(\frac{9}{5}\right).