Category:Examples of Use of Primitive of Reciprocal of a x squared plus b x plus c
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This category contains examples of use of Primitive of $\dfrac 1 {a x^2 + b x + c}$.
- $\ds \int \frac {\d x} {a x^2 + b x + c} = \begin {cases}
\dfrac 2 {\sqrt {4 a c - b^2} } \map \arctan {\dfrac {2 a x + b} {\sqrt {4 a c - b^2} } } + C & : b^2 - 4 a c < 0 \\ \dfrac 1 {\sqrt {b^2 - 4 a c} } \ln \size {\dfrac {2 a x + b - \sqrt {b^2 - 4 a c} } {2 a x + b + \sqrt {b^2 - 4 a c} } } + C & : b^2 - 4 a c > 0 \\ \dfrac {-2} {2 a x + b} + C & : b^2 = 4 a c \end {cases}$
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Pages in category "Examples of Use of Primitive of Reciprocal of a x squared plus b x plus c"
The following 4 pages are in this category, out of 4 total.
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- Primitive of Reciprocal of a x squared plus b x plus c/Examples
- Primitive of Reciprocal of a x squared plus b x plus c/Examples/3 x^2 + 4 x + 2
- Primitive of Reciprocal of a x squared plus b x plus c/Examples/x^2 + 2 a x + b
- Primitive of Reciprocal of a x squared plus b x plus c/Examples/x^2 + 4 x + 5