Question

Integrate this thing ! inside

Answer 1

\[\int\limits_{}^{} \frac{dx} {(1+\sqrt{x})\sqrt{x-x^2}}\]

Answer 2

denominator = (1-x) sqrtx , right ?

Answer 3

no

Answer 4

oh yes its not, sorry :P

Answer 5

you can do this
sqrt(x-x^2) = sqrtx . sqrt(1-x)
and
1/(1+sqrtx) = (1-sqrtx)/(1-x)

see if this helps

Answer 6

I think this wud help...
Den.= (1+sqrtx)sqrtx sqrt(1-x)

If we do the substitution 1+sqrtx = t , I think the den. wud be simplified...

Answer 7

sqrt(1-x) wont get simplified by that substitution ! @saloniiigupta95

Answer 8

If I am not wrong, it would go on to be, sqrt(1-x) = sqrt{1- (1-t)^2}
= sqrt(2t-t^2)
After all this, it changes to, ... See if this helps...