mathematics

posted by .

∫_0^(1/2)xdx/√(1-x²)

  • mathematics -

    ∫_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)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. mathematics

    ∫▒dx/(x√(2x^2+5x+1)) 2. ∫▒dx/(x√(x^2+4x-2)) 3. ∫▒dx/(sinx+13cosx-11) 4. ∫▒〖(x^2-x+4)ln⁡(x+√(x^2-1) dx)〗 5. ∫▒e^cos2x sin4x dx 6. ∫▒x^3 …
  2. mathematics

    ∫dx/(x√(2x^2+5x+1))
  3. maths...

    This is the entire question: A curve has the equation y=(x+2)√(x-1). i)Show that dy/dx = kx/√(x-1) and find k ii)Hence, evaluate limit 2 to 5 ∫ kx/√(x-1)dx My answer: first part, i have already shown, and k …
  4. Help Evaluating Integrals

    1.) ∫ (2)/(x-4) dx 2.) ∫ sec^2x tanx dx 3.) ∫ 2 csc^2 xdx 4.) ∫ (3) / sqtr(x+3) dx 5.) ∫ (2x-1) / (x^2 - x)
  5. mathematics

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

    ∫ _0^(1/2)xdx/√(1-x²) the half should be at the top of this ∫ and the zero at the bottom.
  7. Integral Calculus

    Solve using Integration by Substitution : ∫√x2-a2/x dx ∫√c2-a dx ∫ ln (√y + 3) dy ∫(5y+4) dy/√5y-1
  8. physics

    1.∫ x³(x+1)dx 2.∫ (1-cot²x)dx 3.∫ cosx(tan x + sec x) dx 4.∫ dx/√5x+8 using u= 5x+8 and using u= √5x+5
  9. physics

    1.∫ x³(x+1)dx 2.∫ (1-cot²x)dx 3.∫ cosx(tan x + sec x) dx 4.∫ dx/√5x+8 using u= 5x+8 and using u= √5x+5
  10. Calculus

    Which of the following integrals cannot be evaluated using a simple substitution?

More Similar Questions