Question

Calculus help please!!! Click the link to see the integral.


`\int\limits { (cosx)/( √(sinx) ) } \, dx`

Answer 1

noice

ook, so use u subsitution

remember that dy/dx(sin(x))=cos(x)

u=sin(x)
du/dx=cos(x)
du=cos(x) dx
so then


`\int\limits{ (cos(x))/( √(sin(x)) ) } \, dx`
replace

`\int\limits{ (1)/( √(u) ) } \, du`
we do some stuff

`\int\limits{ u^ (-1)/(2) } } \, du`

`(u^ (1)/(2) )/( (1)/(2) )`

`2 √(u)`
u=sin(x)

`2 √(sin(x))`