1/sqrt{3}[frac{x^{2}}{2}]_{0}^sqrt{3}*(frac{xsqrt{4-x^2}}{2}+4/2sin^-1x/2]_{sqrt{3}}^2 eching

$$\frac { 1 } { \sqrt { 3 } } [ \frac { x ^ { 2 } } { 2 } ] _ { 0 } ^ { \sqrt { 3 } } \cdot ( \frac { x \sqrt { 4 - x ^ { 2 } } } { 2 } + \frac { 4 } { 2 } \sin ^ { - 1 } \frac { x } { 2 } ] _ { \sqrt { 3 } } ^ { 2 }$$

Baholash

$$\frac{\sqrt{3}x^{2}}{6}$$

Yechim qadamlari

\frac{1}{\sqrt{3}} maxrajini \sqrt{3} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{\sqrt{3}}{\left(\sqrt{3}\right)^{2}}\times \frac{x^{2}}{2}$$

\sqrt{3} kvadrati – 3.

$$\frac{\sqrt{3}}{3}\times \frac{x^{2}}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\sqrt{3}}{3} ni \frac{x^{2}}{2} ga ko‘paytiring.

$$\frac{\sqrt{3}x^{2}}{3\times 2}$$

6 hosil qilish uchun 3 va 2 ni ko'paytirish.

$$\frac{\sqrt{3}x^{2}}{6}$$

x ga nisbatan hosilani topish

$$\frac{\sqrt{3}x}{3}$$