∫ sqrt{3^6*5^2} eching

$$\int \sqrt { 3 ^ { 6 } \cdot 5 ^ { 2 } }$$

Baholash

$$135x+С$$

Yechim qadamlari

6 daraja ko‘rsatkichini 3 ga hisoblang va 729 ni qiymatni oling.

$$\int \sqrt{729\times 5^{2}}\mathrm{d}x$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$\int \sqrt{729\times 25}\mathrm{d}x$$

18225 hosil qilish uchun 729 va 25 ni ko'paytirish.

$$\int \sqrt{18225}\mathrm{d}x$$

18225 ning kvadrat ildizini hisoblab, 135 natijaga ega bo‘ling.

$$\int 135\mathrm{d}x$$

Find the integral of 135 using the table of common integrals rule \int a\mathrm{d}x=ax.

$$135x$$

If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.

$$135x+С$$

x ga nisbatan hosilani topish

$$135$$