4.6】求int(x^2dx)/(sqrt(a^2)-x^(2))(a>0).

21】计算int(x^2)/(sqrt(a^2)-x^(2) )dx(a>0).21】计算$\int\frac{x^{2}}{\sqrt{a^{2}-x^{2}

int_(0)^a (x^2sqrt(a^2-x^2)),(rm dx)(a>0)$\int_{0}^{a} {x^2\sqrt{a^2-x^2}}\,{\rm

[例5] 积分 (int )_(0)^2dx(int )_(0)^sqrt (2x-{x^2)}sqrt ({x)^2+(y)^2}dy= __

求int ((arcsin x))^2dx求

(int )_(-1)^1((x+sqrt {1-{x)^2})}^2dx=

定积分(int )_(0)^1sqrt (2x-{x)^2}dx=( )(int )_(0)^1sqrt (2x-{x)^2}dx=( )(int )_(0

类似地，f(x)=x-int_(0)^2asqrt(2ax-x^2)f(x)dx,其中a>0,则f(x)=_____.类似地，$f(x)=x-\int_{0}^

(int )_(0)^pi ((xsin x))^2dx; ;

(int )_(0)^sqrt (2)sqrt (2-{x)^2}dx

求int dfrac ({ln )^2sqrt (x)}(sqrt {x)}dx求