Recent content by kallazans

  1. K

    Area Under ArcTan[x] - Calculate F(x)

    arctg(dy/dx)=tgx can you show me arctg(dy/dx)=tgx? your question is very interesting!
  2. K

    General Antiderivative of (2x^3+3x^2+x-1)/((x+1)*((x^2+2x+2)^2))

    if you are not lazy, you will answer what is the general antiderivative of (2x^3+3x^2+x-1)/((x+1)*((x^2+2x+2)^2))
  3. K

    True or false that all real function is an antiderivative

    is it true or false that all real function is an antiderivative of some real function but neither real function have an antiderivative? I still have the doubt! Definition(Louis Leithold,The Calculus with Analytic Geometry) Antiderivative: F is antiderivative of f in I if F'(x)=f(x) for...
  4. K

    Ssec^3(w)dw is very easy but you need to pay atention

    Ssec^3(w)dw it is very easy if you use integration by parts, but you need to pay atention! how about use a partial fraction ? if you like to have a hard work! Someone agree with me?
  5. K

    How to integrate without trigonometric substitution

    S(x²(1-x²)¹/²)dx without use x=sen(T)? Sx^2(1-x^2)^1/2dx x=sen(t) dx=cos(t)dt (-pi/2<=t<=pi/2) S(x^2(1-x^2)^1/2)dx=S(sen^2(t)cos^2(t))dt S(sen^2(t)cos^2(t)^)dt=S((1-cos^2(2t))/4)dt =S1/4dt - S((co^2(2t))/4)dt= t + c1 - S((1-cos(4t))/8)dt =t/4 + c1 - S1/8dt + S(cos(4t)/8)dt= t/4 +...
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