Question

integrate √x/1-x dx​

Answer 1

Answer:- Here is your answer:-

Here we have (1−x)x−−√=x−−√−xx−−√=x12−x32

Hence ∫(1−x)x−−√dx

=x3232−x5252

=2xx√3−2x2x√5+C

= 2xx√(5−3x)15 +C

where C is any constant.