I am trying to find the integral of (7x)/(x^4)+1?

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2007-08-22 06:14:05 · 3 answers · asked by tchoxi2000 1 in Science & Mathematics ➔ Mathematics

(7/2)atan(x²)

2007-08-22 06:25:48 · answer #1 · answered by Anonymous · 0⤊ 0⤋

The way these parentheses are, it is the integral of:

(7/x^3) + 1

The integral of that is (-7/2)/(x^2) + x + c.

2007-08-22 06:30:38 · answer #2 · answered by Anonymous · 0⤊ 0⤋

Let u = xÂ², du = 2x dx, x dx = du/2.
So you get
7/2â« du/(uÂ²+1) = 7/2 arctan(u) = 7/2 arctan(xÂ²)+C.

2007-08-22 06:30:01 · answer #3 · answered by steiner1745 7 · 1⤊ 0⤋