Aromātai
\frac{t}{x^{4}-1}+С
Kimi Pārōnaki e ai ki x
-\frac{4tx^{3}}{\left(x^{4}-1\right)^{2}}
Pātaitai
Integration
5 raruraru e ōrite ana ki:
\int \frac { 1 } { ( x ^ { 2 } + 1 ) ( x ^ { 2 } - 1 ) } d t
Tohaina
Kua tāruatia ki te papatopenga
\frac{t}{\left(x^{2}+1\right)\left(x^{2}-1\right)}
Kimihia te tau tōpū o \frac{1}{\left(x^{2}+1\right)\left(x^{2}-1\right)} mā te whakamahi i te ture mō te ripanga o ngā tau tōpū pātahi \int a\mathrm{d}t=at.
\frac{t}{\left(x^{2}+1\right)\left(x^{2}-1\right)}+С
Mēnā ko F\left(t\right) he pārōnaki kōaro o f\left(t\right), kāti ko te huinga o ngā pārōnaki kōaro katoa o f\left(t\right) ka whakaaturia e F\left(t\right)+C. Nō reira, me tāpiri te pūmau o te whakatōpūtanga C\in \mathrm{R} ki te otinga.
Ngā Tauira
whārite tapawhā
{ x } ^ { 2 } - 4 x - 5 = 0
Āhuahanga
4 \sin \theta \cos \theta = 2 \sin \theta
whārite paerangi
y = 3x + 4
Arithmetic
699 * 533
Poukapa
\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]
whārite Simultaneous
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Whakarerekētanga
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Whakaurunga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Ngā Tepe
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}