( ( x ^ { 4 } ) - ( 1 / x ^ { 3 } ) ) ^ { 13 } \text { the coefficient of } x ^ { 30 }
Evaluer
-\frac{hn\left(ef\right)^{3}\left(cot\right)^{2}\left(x^{7}-1\right)^{13}}{x^{9}}
Udvid
-hn\left(ef\right)^{3}\left(cot\right)^{2}x^{82}+13hn\left(ef\right)^{3}\left(cot\right)^{2}x^{75}-78hn\left(ef\right)^{3}\left(cot\right)^{2}x^{68}+286hn\left(ef\right)^{3}\left(cot\right)^{2}x^{61}-715hn\left(ef\right)^{3}\left(cot\right)^{2}x^{54}+1287hn\left(ef\right)^{3}\left(cot\right)^{2}x^{47}-1716hn\left(ef\right)^{3}\left(cot\right)^{2}x^{40}+1716hn\left(ef\right)^{3}\left(cot\right)^{2}x^{33}-1287hn\left(ef\right)^{3}\left(cot\right)^{2}x^{26}+715hn\left(ef\right)^{3}\left(cot\right)^{2}x^{19}-286hn\left(ef\right)^{3}\left(cot\right)^{2}x^{12}+78hn\left(ef\right)^{3}x^{5}\left(cot\right)^{2}-13hn\left(ef\right)^{3}\times \left(\frac{cot}{x}\right)^{2}+\frac{hn\left(ef\right)^{3}\left(cot\right)^{2}}{x^{9}}
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Eksempler
Kvadratisk ligning
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometri
4 \sin \theta \cos \theta = 2 \sin \theta
Lineær ligning
y = 3x + 4
Aritmetik
699 * 533
Matrix
\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]
Samtidig ligning
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiering
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Grænser
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}