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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 $\frac{x+1}{4-x}$ into $2$ simpler fractions with common denominator $4-x$
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$\int\left(\frac{x}{4-x}+\frac{1}{4-x}\right)dx$
Learn how to solve problems step by step online. Find the integral int((x+1)/(4-x))dx. Expand the fraction \frac{x+1}{4-x} into 2 simpler fractions with common denominator 4-x. Expand the integral \int\left(\frac{x}{4-x}+\frac{1}{4-x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{x}{4-x}dx results in: 4-x-4\ln\left(4-x\right). Gather the results of all integrals.