Sunday

July 24, 2016
Posted by **lisa** on Saturday, May 28, 2011 at 7:14pm.

- mathematics -
**Damon**, Saturday, May 28, 2011 at 7:52pm∫_0^(1/2)xdx/√(1-x²)

I do not know what

0^(1/2)

is. It is probably a symbol that I do not have.

Integral of x dx/sqrt(1-x^2)

let x = sin t

then dx = cos t dt

1-x^2 = 1 -sin^2 t = cos^2 t

so

integral of

sin t cos t dt / cos t

= integral of

sin t dt

=-cos t

but

-cos t = -sqrt(1-x^2)