Integrate with respect to x?

2 ⤊

Integrate with respect to x?

Integrate with respect to x.

x^-5

2007-12-30 00:24:39 · 3 answers · asked by al 3 in Science & Mathematics ➔ Mathematics

3 answers

∫x^n dx
= (1/(n+1))x^(n+1) + c

∫x^(-5) dx
= x^(-4) / (-4) + c
= -1/(4x^4) + c

2007-12-30 00:37:19 · answer #1 · answered by gudspeling 7 · 1⤊ 0⤋

It would be simpler to recast the question as: how to integrate u^(1/2) with respect to u? One gets integral = (2/3)u^(3/2) + arb const, all in terms of u = x^2.

2016-04-02 01:54:15 · answer #2 · answered by Anonymous · 0⤊ 0⤋

I = ∫ x^(- 5) dx
I = x^(- 4) / (- 4) + C
I = -1 / (4x^4) + C

2007-12-30 01:30:44 · answer #3 · answered by Como 7 · 1⤊ 0⤋