化简 (x-x^2)/(sqrt(x))-2cot(x)

解答

化简

\frac{x - x ^{2}}{x} - 2 cot (x)

x (1 - x) - 2 cot (x)

求解步骤

\frac{x - x ^{2}}{x} - 2 cot (x)

因式分解

x - x^{2} : x (1 - x)

= \frac{x ( 1 - x )}{x} - 2 cot (x)

使用根式运算法则:

a = a a

x = x x

= \frac{x x ( 1 - x )}{x} - 2 cot (x)

约分:

x

= x (1 - x) - 2 cot (x)

t \frac{d y}{d t} - y = y t

\frac{\partial}{\partial x} (e^{- 7 x} cos (7 π t))

n = 1 \sum \infty \frac{n ^{2}}{n + 5}

\int_{0}^{π} tan (x) d x

n = 1 \sum \infty \frac{1}{5 n}