Baholash
\frac{40\sqrt{2}-20}{3}\approx 12,189514165
Baham ko'rish
Klipbordga nusxa olish
\int \frac{5}{\sqrt[4]{x}}\mathrm{d}x
Avval noaniq integralni baholang.
5\int \frac{1}{\sqrt[4]{x}}\mathrm{d}x
\int af\left(x\right)\mathrm{d}x=a\int f\left(x\right)\mathrm{d}x yordamidan konstantani qavsdan tashqariga chiqaring.
\frac{20x^{\frac{3}{4}}}{3}
\frac{1}{\sqrt[4]{x}} ni x^{-\frac{1}{4}} sifatida qaytadan yozish. k\neq -1 uchun integral \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} boʻlgani uchun, \int x^{-\frac{1}{4}}\mathrm{d}x integralni \frac{x^{\frac{3}{4}}}{\frac{3}{4}} bilan almashtiring. Qisqartirish.
\frac{20}{3}\times 4^{\frac{3}{4}}-\frac{20}{3}\times 1^{\frac{3}{4}}
Xos integral bu integral hisoblashning yuqori chegarasida hisoblangan ifodaning boshlangʻich holatidan chiqarib tashlagan holda integral hisoblashning quyi chegarasida hisoblangan ifodaning boshlangʻich holatidir.
\frac{40\sqrt{2}-20}{3}
Qisqartirish.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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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}