integral of 3csc^2(x)

解答

\int 3 csc^{2} (x) d x

- 3 cot (x) + C

求解步骤

\int 3 csc^{2} (x) d x

提出常数:

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

= 3 \cdot \int csc^{2} (x) d x

使用积分常见定则:

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

= 3 (- cot (x))

化简

= - 3 cot (x)

解答补常数

= - 3 cot (x) + C

y^{^{'}} + cot (x) y - x e^{x} = 0

\int (2 x + 1) e^{x (x + 1)} d x

d er i v a t i v e (10 x^{2} - 20 x + 20) e^{x}

d er i v a t i v e y = 4 e^{2 x}

\int_{0}^{4} 0.125 x d x