BASIC INTEGRATION!!!! What is the antiderivative of: (x^2+2x)/(x+1)^2.?

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Please show work. Thanks

2007-08-05 09:43:19 · 3 answers · asked by Tastytaint 1 in Science & Mathematics ➔ Mathematics

x^2 + 2x / (x+1)^2
x^2 + 2x / x^2 + 2x + 1

the x^2's and the 2x's cancel out.
therefore, your answer is 1.

2007-08-05 09:47:23 · answer #1 · answered by bk 2 · 0⤊ 1⤋

= Int 1-1/(x+1)^2 dx = x+1/(x+1) +C
expl. x^2+2x = (x+1)^2-1 so divide

2007-08-05 16:54:32 · answer #2 · answered by santmann2002 7 · 0⤊ 0⤋

y = (x^2+2x+2) / (x+1)

And it would take too long time to show work, so I won't do it.

2007-08-05 17:21:00 · answer #3 · answered by joragr 6 · 0⤊ 0⤋