∫ (from 0 to 4) of (-104-06x)(04x-24) wrt x eching

$$\int_{ 0 }^{ 4 } (-104-06x)(04x-24) d x$$

Baholash

$$9984$$

Yechim qadamlari

0 hosil qilish uchun 0 va 6 ni ko'paytirish.

$$\int _{0}^{4}\left(-104-0x\right)\left(0\times 4x-24\right)\mathrm{d}x$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$\int _{0}^{4}\left(-104-0\right)\left(0\times 4x-24\right)\mathrm{d}x$$

-104 olish uchun -104 dan 0 ni ayirish.

$$\int _{0}^{4}-104\left(0\times 4x-24\right)\mathrm{d}x$$

0 hosil qilish uchun 0 va 4 ni ko'paytirish.

$$\int _{0}^{4}-104\left(0x-24\right)\mathrm{d}x$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$\int _{0}^{4}-104\left(-24\right)\mathrm{d}x$$

2496 hosil qilish uchun -104 va -24 ni ko'paytirish.

$$\int _{0}^{4}2496\mathrm{d}x$$

Avval noaniq integralni baholang.

$$\int 2496\mathrm{d}x$$

\int a\mathrm{d}x=ax umumiy integrallar qoidasi jadvalidan foydalanib, 2496 integralini toping.

$$2496x$$

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

$$2496\times 4-2496\times 0$$

Qisqartirish.

$$9984$$