[2] ( intleft(4 sqrt{x}+frac{8}{sqrt{x}}right) d x )

Question

Accepted Answer

Step:1 ：(intleft(4 sqrt{x}+frac{8}{sqrt{x}}right) dx = int(4x^{frac{1}{2}}+8x^{-frac{1}{2}}) dx)Step:2 ：(= 4int x^{frac{1}{2}} dx + 8int x^{-frac{1}{2}} dx)Step:3 ：(= 4left(frac{2}{3}x^{frac{3}{2}}right) + 8left(2x^{frac{1}{2}}right) + C)Step:4 ：(= frac{8}{3}x^{frac{3}{2}} + 16sqrt{x} + C)

Answer

Step: 1 ：(intleft(4 sqrt{x}+frac{8}{sqrt{x}}right) dx = int(4x^{frac{1}{2}}+8x^{-frac{1}{2}}) dx)Step: 2 ：(= 4int x^{frac{1}{2}} dx + 8int x^{-frac{1}{2}} dx)Step: 3 ：(= 4left(frac{2}{3}x^{frac{3}{2}}right) + 8left(2x^{frac{1}{2}}right) + C)Step: 4 ：(= frac{8}{3}x^{frac{3}{2}} + 16sqrt{x} + C)

[2] \( \int\left(4 \sqrt{x}+\frac{8}{\sqrt{x}}\right) d x \)

Answer

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