Baholash
\frac{2x^{\frac{5}{2}}}{5}+С
x ga nisbatan hosilani topish
x^{\frac{3}{2}}
Baham ko'rish
Klipbordga nusxa olish
\int \left(\sqrt{x}\right)^{2}\sqrt{x}\mathrm{d}x
\left(\sqrt{x}\right)^{2} hosil qilish uchun \sqrt{x} va \sqrt{x} ni ko'paytirish.
\int \left(\sqrt{x}\right)^{3}\mathrm{d}x
Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.
\frac{2x^{\frac{5}{2}}}{5}
Since \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} for k\neq -1, replace \int x^{\frac{3}{2}}\mathrm{d}x with \frac{2x^{\frac{5}{2}}}{5}.
\frac{2x^{\frac{5}{2}}}{5}+С
If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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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
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Differensatsiya
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Oʻngga
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Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}