∫ (from 2 to 3) of (82^3+32-1)d2= eching

$$\int _ { 2 } ^ { 3 } ( 82 ^ { 3 } + 32 - 1 ) d 2 =$$

Baholash

$$551399d_{2}$$

Yechim qadamlari

Avval noaniq integralni baholang.

$$\int \left(82^{3}+32-1\right)d_{2}\mathrm{d}x$$

\int a\mathrm{d}x=ax umumiy integrallar qoidasi jadvalidan foydalanib, \left(82^{3}+32-1\right)d_{2} integralini toping.

$$\left(82^{3}+32-1\right)d_{2}x$$

Qisqartirish.

$$551399d_{2}x$$

Xos integral bu integral hisoblashning yuqori chegarasida hisoblangan ifodaning boshlangʻich holatidan chiqarib tashlagan holda integral hisoblashning quyi chegarasida hisoblangan ifodaning boshlangʻich holatidir.

$$551399d_{2}\times 3-551399d_{2}\times 2$$

Qisqartirish.

$$551399d_{2}$$

d_2 ga nisbatan hosilani topish

$$551399$$