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Integration by Partial Fractions

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Wize University Calculus 2 Textbook > Integration Techniques

Partial Fractions

4 Activities

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Evaluate the integral
∫x+4x2−5x+6dx\int_{ }^{ }\frac{x+4}{x^2-5x+6}dx

Use upper case CC to denote any constants.
More Partial Fractions Questions:
Integration by Partial Fractions
Evaluate the integral
∫x+4x2−5x+6dx\int_{ }^{ }\frac{x+4}{x^2-5x+6}dx
Use upper case CC to denote any constants.
Example: Partial Fractions
Example: Partial Fractions (w/ Repeated Factors)
Evaluate ∫x4+x3+6x2+2x+4x(x2+2)2  ⁣dx.{\displaystyle\int}\frac{x^4+x^3+6x^2+2x+4}{x(x^2+2)^2}\de{x}.
Example: Partial Fractions
Example: Partial Fractions (w/ Repeated Factors)
Evaluate ∫x4+x3+6x2+2x+4x(x2+2)2  ⁣dx.{\displaystyle\int}\frac{x^4+x^3+6x^2+2x+4}{x(x^2+2)^2}\de{x}.
Integration by Partial Fractions
Evaluate the integral
∫x+4x2−5x+6dx\int_{ }^{ }\frac{x+4}{x^2-5x+6}dx
Use upper case CC to denote any constants.
Integration by Partial Fractions
Evaluate the integral
∫x+4x2−5x+6dx\int_{ }^{ }\frac{x+4}{x^2-5x+6}dx
Use upper case CC to denote any constants.
Example: Partial Fractions
Example: Partial Fractions (w/ Repeated Factors)
Evaluate ∫x4+x3+6x2+2x+4x(x2+2)2  ⁣dx.{\displaystyle\int}\frac{x^4+x^3+6x^2+2x+4}{x(x^2+2)^2}\de{x}.
Example: Partial Fractions
Example: Partial Fractions (w/ Repeated Factors)
Evaluate ∫x4+x3+6x2+2x+4x(x2+2)2  ⁣dx.{\displaystyle\int}\frac{x^4+x^3+6x^2+2x+4}{x(x^2+2)^2}\de{x}.
Integration by Partial Fractions
Evaluate the integral
∫x+4x2−5x+6dx\int_{ }^{ }\frac{x+4}{x^2-5x+6}dx
Use upper case CC to denote any constants.
Example: Partial Fractions
Example: Partial Fractions (w/ Repeated Factors)
Evaluate ∫x4+x3+6x2+2x+4x(x2+2)2  ⁣dx.{\displaystyle\int}\frac{x^4+x^3+6x^2+2x+4}{x(x^2+2)^2}\de{x}.