Integral Calculus

posted by .

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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math - Trig Substitution

    How can I solve the integral of x^3√(9-x^2) dx using trigonometric substitution?
  2. 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 …
  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. Calculus

    Find the integral by substitution ∫ [(16 x3)/(x4 + 5)] dx ∫[ 4 x/(√{x2 + 3})] dx ∫ 8 x2 e4 x3 +7 dx PLEASE help with all three. i'd really appreciate it
  5. physics

    1.∫ csc (u-π/2) cot (u-π/2) du. 2.∫ sec^2(3x+2)ds 3.∫ √3-2s ds 4. ∫ 12(y^4+y4y^2+1)^2 (4^3+2y) dy use u= y^4+4y^2+1
  6. 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
  7. 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
  8. Calculus

    evaluate each of the following integral:- I= ∫((x^2+ 1)/(x^4+ 1))dx Y=∫(sinhxcoshx)dx/√(sinhx^4+coshx^4)
  9. Calculus

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

    By changing the order of integration, prove that ∫_0^1▒∫_0^(√(1-x^2 ))▒〖{dy/((1+e^y)√(1-x^2-y^2 ))}dx=π/2 log⁡(2e/(1+e)) 〗

More Similar Questions