Evaluate: `int(sqrt(x))/(sqrt(x)-x^(1/3))dx`

Explanation

`\text { question id- } 1461359`


`I=\int \frac{x^{1 / 2}}{x^{1 / 2}-x^{1 / 3}} d x`




`\text { then, } `


`\int \frac{t^{3}}{t^{3}-t^{2}} d t(6 t^{5})`


`I=\int \frac{t^{3} \cdot 6 t^{5} d t}{t^{3}-t^{2}}`


`I=\int \cdot \frac{t^{2} \cdot 6 t^{5} d t}{t^{2}(t-1)}`


`I=\int \frac{6 t^{6} d t}{(t-1)} \Rightarrow I=6 \mid \frac{t^{6} d t}{t-1}`

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