Hasil ∫ (x^2 - 2/ √x ) dx = ... A . 1/3 x^3 + 4 √x + c , B . 1/3 x^3 - 4 √x + c , C . 1/3 x^3 + 3x √x + c , D. 1/3 x^3 -2x √x + c , E . 1/2 x^3 + x √x + c

Mohon maaf apabila ada yg salah hitung

[tex]\int\left(x^{2}-\frac{2}{\sqrt{x}}\right)dx & =\int x^{2}dx-2\int\frac{1}{\sqrt{x}}dx\\\text{\hspace{24mm}} & =\int x^{2}dx-2\int\left(x^{-\frac{1}{2}}\right)dx\\ \text{\hspace{24mm}} & =\frac{x^{3}}{3}-2\left[\frac{x^{-\frac{1}{2}+1}}{-\frac{1}{2}+1}\right]+C\\\text{\hspace{24mm}} & =\frac{1}{2}x^{3}-\frac{2}{\frac{1}{2}}x^{\frac{1}{2}}+C\\\text{\hspace{24mm}} & =\frac{1}{2}x^{3}-4\sqrt{x}+C[/tex]

Jadi jawabannya yang b)