int_(0)^a (x^2sqrt(a^2-x^2)),(rm dx)(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}

4.6】求int(x^2dx)/(sqrt(a^2)-x^(2))(a>0).4.6】求$\int\frac{x^{2}dx}{\sqrt{a^{2}-x^{2

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

(1) (int )_(0)^a(x)^2sqrt ({a)^2-(x)^2}dx(agt 0);

(3)(int )_(0)^a(x)^2sqrt ({a)^2-(x)^2}dx(agt 0);

(8) (int )_(0)^1(x)^2sqrt (1-{x)^2}dx :

计算下列各导数：(1) (d)/(dx)int_(0)^x^2sqrt(1+t^2)dt;(2) (d)/(dx)int_(x^2)^x^3(dt)/(sqrt

注 类似地，若 f(x) = x - int_(0)^2a sqrt(2ax - x^2) f(x) dx，其中 a > 0，则 f(x) = _____。 注

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

int_(0)^2(1)/(1+sqrt[3](x))dx;$\int_{0}^{2}\frac{1}{1+\sqrt[3]{x}}dx;$