Calc.1: Find the integrate using substitution ∫√(1-√x) dx

[higopr]

Hi, how can i do this?

\(\displaystyle \displaystyle b)\quad \int\, \sqrt{\strut 1\, -\, \sqrt{\strut x\,}\,}\, dx\)

 

[Deleted member 4993]

Hi, how can i do this?

\(\displaystyle \displaystyle b)\quad \int\, \sqrt{\strut 1\, -\, \sqrt{\strut x\,}\,}\, dx\)

View attachment 8232

Substitute:

u = [1-x^(1/2)]^(1/2)

x = (1- u^2)^2

dx = ???.... and continue....

 

[higopr]

View attachment 8232

Substitute:

u = [1-x^(1/2)]^(1/2)

x = (1- u^2)^2

dx = ???.... and continue....

Is this right?

 

[Deleted member 4993]

Is this right? View attachment 8236

Differentiate you "answer" and check it out yourself!