Integration do i use substitution or parts?

[james5]

Hi,

i am stumped on how to start this:

integration of sin(ROOT(1 + x))

so, basically sin of square root 1 + x

thanks

James

 

[d_leet]

I think you'll end up using both, try the substitution u=sqrt(1+x)

 

[ريمان]

hi

we can

u=(1+x)^(1\2)
du.u=dx
integrat(u.sin(u).du)

and you can use parts to compleat

 

[james5]

thanks!

i get now to

INTEGRAL(u * sin(u)) du

ok, so now what should I do?

thanks

James

 

[james5]

nvm, i got it

 

[ريمان]

hi

u.sin(u)du

and you can use parts to compleat

z=u ...dm=sin(u)du
dz=du...m=-cos(u)

= -u.cos(u)-INTEGRAL(-cos(u)du)

after

u=(1+x)^(1\2)

and substitut by (1+x)^(1\2)

tanks's