Enrhifo
\frac{x\cot(\theta )}{\sin(\theta )}+С
\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}
Gwahaniaethu w.r.t. x
\frac{\cot(\theta )}{\sin(\theta )}
Rhannu
Copïo i clipfwrdd
\frac{\cos(\theta )}{\left(\sin(\theta )\right)^{2}}x
Canfod integryn \frac{\cos(\theta )}{\left(\sin(\theta )\right)^{2}} gan ddefnyddio'r rheol tabl o integrynnau cyffredin \int a\mathrm{d}x=ax.
\frac{\cos(\theta )x}{\left(\sin(\theta )\right)^{2}}
Symleiddio.
\begin{matrix}\frac{\cos(\theta )x}{\left(\sin(\theta )\right)^{2}}+С_{3},&\end{matrix}
Os yw F\left(x\right) yn integryn amhendant o f\left(x\right), yna bydd F\left(x\right)+C yn rhoi’r set o holl integrynnau amhendant f\left(x\right). Felly, ychwanegwch gysonyn yr integryn C\in \mathrm{R} at y canlyniad.
Enghreifftiau
Hafaliad cwadratig
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometreg
4 \sin \theta \cos \theta = 2 \sin \theta
Hafaliad llinol
y = 3x + 4
Rhifyddeg
699 * 533
Matrics
\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]
Hafaliad ar y pryd
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Gwahaniaethu
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integreiddiad
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Terfynau
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}