Question

一道数学题,在线等∫（2x^3-3x^2+8x-6)/(x^2+4) dx详细过程,和答案.谢谢!再加一道， ∫（x-1

Answer 1

∫（2x^3-3x^2+8x-6)/(x^2+4) dx =∫(2x-3) dx + ∫ 6/(x^2+4) dx

=x^2 - 3x + 3 ∫1/((x/2) ^2+1) d(x/2) = x^2 -3x + 3arctan(x/2)