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

asked Oct 20, 2021 78.8k views

4 votes

by Vedom

8.3k points

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1 vote

Answer:

$\boxed{2ln (√(x) + 1 ) + c}$

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

Ahmad Houri answered Oct 25, 2021