`\int` $\frac{1}{x^{5}}$ dx= `\int` $\frac{2}{x^{6}}$ dx= `\int` $\frac{5}{2x^{6}}$ dx=.... `\int` √x dx =...... `\int` $\sqrt[3]{x²}$ dx=....... `\int`x $\sqrt[]{x}$ dx=....... `\int`x $\sqrt[3]{x ²}$ dx =...... `\int` $\frac{1}{\sqrt[3]{x}}$ dx=........... `\int` $\frac{1}{\sqrt[4]{x ³}}$ dx=........... `\int` $\frac{x}{\sqrt[3]{x }}$ dx=...........

Đáp án:

Giải thích các bước giải:

 `\int\ \frac{1}{x^5}dx =\int\ \x^{-5} dx=-1/{4x^4}+C`

 `\int\ \frac{2}{x^6}dx =2\int\ \x^{-6} dx=-2/{5x^5}+C`

 `\int\ \frac{5}{2x^6}dx =5/2\int\ \x^{-6} dx=-1/{2x^5}+C`

 `\int\ \sqrt{x}dx =\int\ \x^{1/2} dx=2/3x^{3/2}+C`

 `\int\ \root[3]{x^2}dx =\int\ \x^{2/3} dx=3/5x^{5/3}+C`

 `\int\ x\sqrt{x}dx =\int\ x.x^{1/2} dx=\int\ x^{3/2} dx=2/5x^{5/2}+C`

 `\int\ x\root[3]{x^2}dx =\int\ x.x^{2/3} dx=\int\ x^{5/3} dx=3/8x^{8/3}+C`

 `\int\ \frac{1}{\root[3]{x}}dx =\int\ \x^{-1/3} dx=3/2x^{2/3}+C`

 `\int\ \frac{1}{\root[4]{x^3}}dx =\int\ \x^{-3/4} dx=4x^{1/4}+C`

 `\int\ \frac{x}{\root[3]{x}}dx =\int\ \x^{2/3} dx=3/5x^{5/3}+C`