Whakaoti i te 65^3sqrt{x^6}dx=5

$$65 ^ { 3 } \sqrt { x ^ { 6 } } d x = 5$$

Whakaoti mō d

$$d=\frac{1}{54925x\left(|x|\right)^{3}}$$

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te 65 mā te pū o 3, kia riro ko 274625.

$$274625\sqrt{x^{6}}dx=5$$

He hanga arowhānui tō te whārite.

$$274625x\sqrt{x^{6}}d=5$$

Whakawehea ngā taha e rua ki te 274625\sqrt{x^{6}}x.

$$\frac{274625x\sqrt{x^{6}}d}{274625x\sqrt{x^{6}}}=\frac{5}{274625x\sqrt{x^{6}}}$$

Mā te whakawehe ki te 274625\sqrt{x^{6}}x ka wetekia te whakareanga ki te 274625\sqrt{x^{6}}x.

$$d=\frac{5}{274625x\sqrt{x^{6}}}$$

Whakawehe 5 ki te 274625\sqrt{x^{6}}x.

$$d=\frac{1}{54925x\left(|x|\right)^{3}}$$

Whakaoti mō x

$$\left\{\begin{matrix}x=\frac{\sqrt{5}\sqrt[4]{\frac{13}{d}}}{65}\text{, }&d>0\\x=-\frac{\sqrt{5}\sqrt[4]{-\frac{13}{d}}}{65}\text{, }&d<0\end{matrix}\right.$$