Integration question.... (1 Viewer)

[peeasoup]

Can someone please tell me how you integrate this - (4 - x^2)^1/2
thanks.

 

[withoutaface]

you substitute in x=2sin@

:. dx=2cos@d@


int( 2cos@(4-4sin²@)^1/2d@)

int(2cos@(4cos²@)^1/2d@)

int (4cos²@d@)

int ([2cos2@+2]d@)

sin2@+2x+C

EDIT: I covered this here: http://www.boredofstudies.org/community/showpost.php?p=868257&postcount=28

Hope that helped.

 

[peeasoup]

cool thanks heaps.