共50条信息
计算\(\int{\begin{matrix} & 2\pi \\ & 0 \\ \end{matrix}}|\sin x|dx=\)_______________．
\({{\underset{0}{ \int }\,}^{1}}\sqrt{1-{{\left( x-1 \right)}^{2}}}dx=\)( )
\({\int }{{ }}_{0}^{\frac{\pi}{2}}\sin^{2}\dfrac{x}{2}dx{=}({ })\)
函数\(f\left( x \right)=\begin{cases} 2-x,{ }x\leqslant 0, \\ \sqrt{4-{{x}^{2}}},0 < x\leqslant 2, \end{cases}\)，则\(\int{_{-2}^{2}}f\left( x \right)dx\)的值为 \((\) \()\)
曲线\(y= \sqrt{x}\)，\(y=2-x\)，\(y=- \dfrac{1}{3}x\)所围成图形的面积为 \((\) \()\)
设\(f(x)=\begin{cases} & {{x}^{2}},x\in [0,1], \\ & 2-x,x\in (1,2] \end{cases}\)，则\(\int_{0}^{2}{{}}f(x)dx= \)( )
已知一质点做自由落体运动，其速度\(v=gt\)，则质点从\(t=0\)到\(t=2\)所经过的路程为 ( )
\(∫_{2}^{3}\left(2x+1\right)dx= (\) \()\)
已知\({S}_{1}=\int _{1}^{2}xdx,{S}_{2}=\int _{1}^{2}{e}^{x}dx,{S}_{3}=\int _{1}^{2}{x}^{2}dx \) ，则\({{S}_{1}},{{S}_{2}},{{S}_{3}}\)的大小关系为\((\) \()\)
设\(f(x){=}\begin{cases} \sqrt{1{-}x^{2}}{,}x{∈[-}1{,}1) \\ x^{2}{-}1{,}x{∈[}1{,}2{]} \end{cases}\)，则\(\int_{{-}1}^{2}f(x)dx\)的值为\((\) \()\)
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