Question

Please help me to solve this ∫ 1/(x + √x) dx

Answer 1

`\boxed{2ln (√(x) + 1 ) + c}`

Explanation:

`\int\limits {(1)/(x + √(x) ) } \, dx`

`= \int\limits {(1)/(√(x) (√(x) + 1 )) } \, dx`

`= \int\limits {(2)/((√(x) + 1 )) } \, d(√(x) + 1 )`

`= 2ln (√(x) + 1 ) + c`