Baholash
\frac{8xX^{2}+83x}{\left(3X-1\right)\left(X+2\right)\left(2X+3\right)}+С
x ga nisbatan hosilani topish
\frac{8X^{2}+83}{\left(3X-1\right)\left(X+2\right)\left(2X+3\right)}
Baham ko'rish
Klipbordga nusxa olish
\frac{8X^{2}+36+47}{\left(3X-1\right)\left(X+2\right)\left(2X+3\right)}x
\int a\mathrm{d}x=ax umumiy integrallar qoidasi jadvalidan foydalanib, \frac{8X^{2}+36+47}{\left(3X-1\right)\left(X+2\right)\left(2X+3\right)} integralini toping.
\frac{\left(8X^{2}+83\right)x}{\left(3X-1\right)\left(X+2\right)\left(2X+3\right)}
Qisqartirish.
\frac{\left(8X^{2}+83\right)x}{\left(3X-1\right)\left(X+2\right)\left(2X+3\right)}+С
Агар F\left(x\right)f\left(x\right) ning dastlabki holati boʻlsa, u holatda f\left(x\right) ning barcha dastlabki holatlari toʻplami F\left(x\right)+C tarafidan belgilanadi. Shu sababli natijaga C\in \mathrm{R} integrallash konstantasini qoʻshing.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\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]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}