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- Find each integral by partial fractions.\displaystyle\int \dfrac{2x + 5}{x^2 - x - 2}\,dx\displaystyle\int \dfrac{7}{3x^2 - 5x - 2}\,dx\displaystyle\int \dfrac{x^3 + x^2}{x^2 + 2x - 3}\,dx
- Evaluate _0² 2x - 1x² + 3x + 2\,dx.
- Each bottom has a repeated linear factor.
- The bottom of this integrand has a zero at a small whole number.
- The bottom of this integrand is a repeated irreducible quadratic.
- A rational function f has the antiderivative F
- Yuna runs a carton-folding machine at a packaging plant.
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Integration by partial fractions: the lesson ›More Chapter 1 worksheets: Integration techniques
- 1.1Integration by parts
- 1.2Trigonometric integrals
- 1.3Trigonometric substitution
- 1.4Integration by partial fractions
- 1.5Choosing an integration technique