計算定積分∫上0下負1[(3x^4+3x^2+1)/(x^2+1)](ey)

計算定積分∫上0下負1[(3x^4+3x^2+1)/(x^2+1)](ey)

∫[-1,0](3x^4+3x²;+1)/(x²;+1)dx
=∫[-1,0] [3x²;+1/(x²;+1)] dx
=3∫[-1,0]x²;dx+∫[-1,0][1/(1+x²;)]dx
=3(x³;/3)[-1,0]+(arctanx)[-1,0]
=1+arcntan(0)-arctan(-1)
=1-(-π/4)
=1+π/4
≈1.785398163