Luacháil
\frac{dx+x}{\alpha \left(\alpha -1\right)^{3}}+С
Difreálaigh w.r.t. x
\frac{d+1}{\alpha \left(\alpha -1\right)^{3}}
Tráth na gCeist
Integration
5 fadhbanna cosúil le:
\int \frac { d + 1 } { \alpha ( \alpha - 1 ) ^ { 3 } } d x
Roinn
Cóipeáladh go dtí an ghearrthaisce
\frac{d+1}{\alpha \left(\alpha -1\right)^{3}}x
Aimsigh suimeálaithe do \frac{d+1}{\alpha \left(\alpha -1\right)^{3}} ag baint úsáid as an tábla do suimeálaithe coitianta riail\int a\mathrm{d}x=ax.
\frac{\left(d+1\right)x}{\alpha \left(\alpha -1\right)^{3}}
Simpligh.
\frac{\left(d+1\right)x}{\alpha \left(\alpha -1\right)^{3}}+С
Má tá F\left(x\right) mar frithdhíorthach do f\left(x\right), beidh tacar do frithdhíorthach uile do f\left(x\right) a thabhairt ag F\left(x\right)+C. Mar sin de, cur an comhtháthú leanúnach C\in \mathrm{R} don toradh.
Samplaí
Cothromóid chearnach
{ x } ^ { 2 } - 4 x - 5 = 0
Triantánacht
4 \sin \theta \cos \theta = 2 \sin \theta
Cothromóid líneach
y = 3x + 4
Uimhríocht
699 * 533
Maitrís
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Cothromóid chomhuaineach
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Difreáil
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Comhtháthú
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Teorainneacha
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}