[题目]利用定积分的几何意义,求 (int )_(-3)^3sqrt (9-{x)^2}dx.

(int )_(-3)^3sqrt (9-{x)^2}dx= ． ．

求定积分 (int )_(0)^3dfrac (dx)(x+sqrt {9-{x)^2}} 的值.

∫(;)_(0)^3sqrt(9-(x)^2)dx= ____ ．∫${\;}_{0}^{3}$$\sqrt{9-{x}^{2}}$dx= ____ ．

定积分int_0^3(sqrt(9-{x^2))}dx的值为 ____ ．定积分$\int_0^3$${\sqrt{9-{x^2}}}$dx的值为 ____ ．

求下列不定积分:-|||-int (e)^sqrt (3x+9)dx.

求不定积分int(1)/((1+sqrt[3](x))sqrt(x))dx.21. 求不定积分$\int\frac{1}{(1+\sqrt[3]{x})\sqr

(2025 浙江)求不定积分int(x^3)/(sqrt[3](1-2x^2) )dx.(2025 浙江)求不定积分$\int\frac{x^{3}}{\sqr

求定积分(int )_(-1)^1((x)^2+2x-3)dx.求定积分.

3.利用定积分的几何意义,证明下列等式:-|||-(2) (int )_(0)^1sqrt (1-{x)^2}dx=dfrac (pi )(4) ;

[题目]计算定积分: (int )_(4)^9sqrt (x)(1+sqrt (x))dx.