Recent content by kallazans
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K
Graduate Area Under ArcTan[x] - Calculate F(x)
arctg(dy/dx)=tgx can you show me arctg(dy/dx)=tgx? your question is very interesting! -
K
Graduate 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)) -
K
Graduate 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... -
K
Undergrad 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? -
K
Graduate 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 +...