integral of sin^{-2}(x)

解答

\int sin^{- 2} (x) d x

- cot (x) + C

求解步骤

\int sin^{- 2} (x) d x

化简

sin^{- 2} (x) : csc^{2} (x)

= \int csc^{2} (x) d x

使用积分常见定则:

\int csc^{2} (x) d x = - cot (x)

= - cot (x)

解答补常数

= - cot (x) + C

\frac{d}{d x} (20 - x^{2})

x \to 6 lim (f (x))

\int \frac{t}{1 - t ^{3}} d t

\frac{d y}{d x} = x + 4 y

\frac{\partial}{\partial x} (\frac{y}{y - x})