Wednesday

August 20, 2014

August 20, 2014

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)

**Related Questions**

mathematics - ∫ _0^(1/2)xdx/√(1-x²) the half should be at the top of...

mathematics - ∫ _0^(1/2)xdx/√(1-x²) the half should be at the top of...

Help Evaluating Integrals - 1.) ∫ (2)/(x-4) dx 2.) ∫ sec^2x tanx dx ...

Integral Calculus - Solve using Integration by Substitution : ∫√x2-...

mathematics - ∫▒dx/(x√(2x^2+5x+1)) 2. ∫▒dx/(x&#...

maths... - This is the entire question: A curve has the equation y=(x+2)√(...

mathematics - ∫dx/(x√(2x^2+5x+1))

Calculus - Find the integral by substitution ∫ [(16 x3)/(x4 + 5)] dx &#...

Math - Find an equation of the line that bisects the obtuse angles formed by the...

maths... - Differentiate ln [x+√(x^2+1)] with respect to x hence evaluate ...