Separate the intervals of monotonicity for the following functions.
`f(x) = (log_(e)x)^(2) + (log_(e)x)`

Separate the intervals of monotonicity for the following functions. f(x) = x^(2) e^(-x)

Separate the intervals of monotonicity for the following functions. f(x) = -2x^(3) - 9x^(2) - 12x + 1

Separate the intervals of monotonicity for the following functions. f(x) = 3 cos^(4) x + 10 cos^(3) x + 6 cos^(2) x - 3, x in [0, pi]

Separate the intervals of monotonicity for the following functions. f(x) = sin x + cos x, x in (0, 2pi)

Integrate the following functions x log2x

Find the interval of monotonicity of the function f(x) = |x - 1| //x^(2) .

Find the inverse of the following function: f(x) = (e^(x) -e^(-x))/(e^(x)+e^(-x))+2

Integrate the following functions (e^(2x) -e^(-2x))/(e^(2x) + e^(-2x)