integral of 3x^{-1}

解答

\int 3 x^{- 1} d x

3 ln ∣ x ∣ + C

求解步骤

\int 3 x^{- 1} d x

提出常数:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int x^{- 1} d x

使用积分常见定则:

\int x^{- 1} d x = ln (∣ x ∣)

= 3 ln ∣ x ∣

解答补常数

= 3 ln ∣ x ∣ + C

2 x y d x + (x^{2} - 1) d y = 0

f (x) = \frac{cos ( x )}{1 + sin ( x )}

\frac{\partial}{\partial x} (x^{2} y + y^{3})

a re a - x^{2} + 1.907, 0, 0.266

\int_{0}^{1} (5 e^{x} - 5 x e^{x^{2}}) d x