integral of csc^2(θ)+3

解答

\int csc^{2} (θ) + 3 d θ

- cot (θ) + 3 θ + C

求解步骤

\int csc^{2} (θ) + 3 d θ

使用积分加法定则:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int csc^{2} (θ) d θ + \int 3 d θ

\int csc^{2} (θ) d θ = - cot (θ)

\int 3 d θ = 3 θ

= - cot (θ) + 3 θ

解答补常数

= - cot (θ) + 3 θ + C

\int 4 - 9 x d x

\int_{- \infty}^{1} \frac{1}{x ^{2} + 1} d x

\int 2 x (x^{2} - 1)^{97} d x

\frac{d}{d x} (tan^{x} (x))

d er i v a t i v e sin (\frac{π}{x})