Calculating this integral...?

0 ⤊

Calculate the integral [ (x^3 + 1) / x^5 ] dx.

Explain your work. Thanks! :)

2007-11-27 14:00:02 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

Just divide by x^5 and you will get [x^(-2) + x^(-5)]dx.

Integrate and get -(1/x) - (1/4)x^(-4) + C.

2007-11-27 14:15:41 · answer #1 · answered by b1gmuff 3 · 0⤊ 0⤋

â«[(x^3 + 1) / x^5]dx =
â«[1/x^2 + 1/x^5]dx =
- [1/x + 1/(4x^4)] + C =
C - (4x^3 + 1) / (4x^4)

2007-11-27 22:17:03 · answer #2 · answered by Helmut 7 · 0⤊ 0⤋