Baholash
\frac{6\left(6^{\frac{7}{6}}-1\right)}{7}\approx 6,075460224
Baham ko'rish
Klipbordga nusxa olish
\int \sqrt[6]{x}\mathrm{d}x
Avval noaniq integralni baholang.
\frac{6x^{\frac{7}{6}}}{7}
\sqrt[6]{x} ni x^{\frac{1}{6}} 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}{6}}\mathrm{d}x integralni \frac{x^{\frac{7}{6}}}{\frac{7}{6}} bilan almashtiring. Qisqartirish.
\frac{6}{7}\times 6^{\frac{7}{6}}-\frac{6}{7}\times 1^{\frac{7}{6}}
Xos integral bu integral hisoblashning yuqori chegarasida hisoblangan ifodaning boshlangʻich holatidan chiqarib tashlagan holda integral hisoblashning quyi chegarasida hisoblangan ifodaning boshlangʻich holatidir.
\frac{36\sqrt[6]{6}-6}{7}
Qisqartirish.
Misollar
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