∫ (from - 2 to 2) of 4x^3 wrt x eching

$$\int _ { - 2 } ^ { 2 } 4 x ^ { 3 } d x$$

Baholash

$$0$$

Yechim qadamlari

Avval noaniq integralni baholang.

$$\int 4x^{3}\mathrm{d}x$$

\int af\left(x\right)\mathrm{d}x=a\int f\left(x\right)\mathrm{d}x yordamidan konstantani qavsdan tashqariga chiqaring.

$$4\int x^{3}\mathrm{d}x$$

k\neq -1 uchun integral \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} boʻlgani uchun, \int x^{3}\mathrm{d}x integralni \frac{x^{4}}{4} bilan almashtiring. 4 ni \frac{x^{4}}{4} marotabaga ko'paytirish.

$$x^{4}$$

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

$$2^{4}-\left(-2\right)^{4}$$

Qisqartirish.

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