Category:Primitive of Reciprocal of a x squared plus b x plus c
Jump to navigation
Jump to search
This category contains pages concerning the primitive of $\dfrac 1 {a x^2 + b x + c}$:
- $\ds \int \frac {\d x} {a x^2 + b x + c} = \begin {cases}
\dfrac 2 {\sqrt {4 a c - b^2} } \map \arctan {\dfrac {2 a x + b} {\sqrt {4 a c - b^2} } } + C & : b^2 - 4 a c < 0 \\ \dfrac 1 {\sqrt {b^2 - 4 a c} } \ln \size {\dfrac {2 a x + b - \sqrt {b^2 - 4 a c} } {2 a x + b + \sqrt {b^2 - 4 a c} } } + C & : b^2 - 4 a c > 0 \\ \dfrac {-2} {2 a x + b} + C & : b^2 = 4 a c \end {cases}$
Subcategories
This category has only the following subcategory.
Pages in category "Primitive of Reciprocal of a x squared plus b x plus c"
The following 12 pages are in this category, out of 12 total.
P
- Primitive of Reciprocal of a x squared plus b x plus c
- Primitive of Reciprocal of a x squared plus b x plus c/a equal to 0
- Primitive of Reciprocal of a x squared plus b x plus c/Also presented as
- Primitive of Reciprocal of a x squared plus b x plus c/b equal to 0
- Primitive of Reciprocal of a x squared plus b x plus c/b equal to 0/Proof 1
- Primitive of Reciprocal of a x squared plus b x plus c/b equal to 0/Proof 2
- Primitive of Reciprocal of a x squared plus b x plus c/c equal to 0
- Primitive of Reciprocal of a x squared plus b x plus c/c equal to 0/Proof 1
- Primitive of Reciprocal of a x squared plus b x plus c/c equal to 0/Proof 2
- Primitive of Reciprocal of a x squared plus b x plus c/Negative Discriminant
- Primitive of Reciprocal of a x squared plus b x plus c/Positive Discriminant
- Primitive of Reciprocal of a x squared plus b x plus c/Zero Discriminant