9000065910 | math4u.vsb.cz

SubArea:

Primitive function

Level:

Project ID:

9000065910

Accepted:

1

Given function

F (x) = x + 2 \ln | x | - \frac{1}{x},

find the function

f

such that

F

is primitive to

f

on

(0; + \infty)

.

f (x) = \frac{x^{2} + 2 x + 1}{x^{2}}

f (x) = \frac{x^{2}}{(x + 1)^{2}}

f (x) = \frac{x^{2} - 1}{x^{2}}

f (x) = \frac{x^{2}}{(x - 1)^{2}}