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) = x^(2) e^(-x)

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) = 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)

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

Integrate the following functions 1/(9x^2+6x+5)

The function f(x)=(9-x^(2))^(2) increases in