integral of arcsin^2(x)

解答

\int arcsin^{2} (x) d x

x arcsin^{2} (x) - 2 (- arcsin (x) 1 - x^{2} + x) + C

求解步骤

\int arcsin^{2} (x) d x

使用分布积分法

= x arcsin^{2} (x) - \int \frac{2 x arcsin ( x )}{1 - x ^{2}} d x

\int \frac{2 x arcsin ( x )}{1 - x ^{2}} d x = 2 (- arcsin (x) 1 - x^{2} + x)

= x arcsin^{2} (x) - 2 (- arcsin (x) 1 - x^{2} + x)

解答补常数

= x arcsin^{2} (x) - 2 (- arcsin (x) 1 - x^{2} + x) + C

d er i v a t i v e f (x) = \frac{x ^{2}}{x - 11}

d er i v a t i v e 5 x^{3} + 2 x^{2} + 3

x \to \infty lim (co x (x))

\frac{\partial}{\partial s} (- 5 s^{2} t)

250 y^{^{''}} + 8 y^{^{'}} + 2 y = 0