mathematics
posted by lisa on .
∫_0^(1/2)xdx/√(1x²)

∫_0^(1/2)xdx/√(1x²)
I do not know what
0^(1/2)
is. It is probably a symbol that I do not have.
Integral of x dx/sqrt(1x^2)
let x = sin t
then dx = cos t dt
1x^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(1x^2)