[(ax^2-bx)/(x+b)]dx怎么积分呢?

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[(ax^2-bx)/(x+b)]dx怎么积分呢?[(ax^2-bx)/(x+b)]dx怎么积分呢?[(ax^2-bx)/(x+b)]dx怎么积分呢?b+x=t,dx=dt,x=t-b[(ax^2-b

[(ax^2-bx)/(x+b)]dx怎么积分呢?
[(ax^2-bx)/(x+b)]dx怎么积分呢?

[(ax^2-bx)/(x+b)]dx怎么积分呢?
b+x=t,dx=dt,x=t-b
[(ax^2-bx)/(x+b)]dx= [(a(t-b)^2-b(t-b))/tdt
=[at-(2ab+b)+(ab^2+b^2)/t]dt
=at^2/2-(2ab+b)t+(ab^2+b^2)lnt
=a(x+b)^2/2-(2ab+b)(x+b)+(ab^2+b^2)ln(x+b)