Recent content by pashav46

  1. P

    Integrate $\int\frac{x^3}{\sqrt{x^2 + 1}} dx$ from 0 to 1

    A one solve the definite integral ∫x2/√x2+1 dx={z=x2+1,dz=2*x*dx}= ∫(z-1)/(2√z) dz=1/3*z3/2-√z={x=0⇔z=1,x=1⇔z=2}=(2-√2)/3
  2. P

    What is the Log of a Complex Variable?

    ln(x+iy)=ln(r)+i(θ+2*nπ) for n any integer.
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    1st order nonhomogeneous dif'l e'n

    rbwang1225 The particular solution is f*(x)=x^(2m)-2*m*x^(2m-2)+(2^2)*m*(m-1)*x^(2m-4)-...+((-1)^m)*(2^m)*m!
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