共50条信息
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 \((\) \()\)
\(∫_{2}^{3}\left(2x+1\right)dx= (\) \()\)
\(∫_{0}^{2}(3{x}^{2}+k)dx=10 \)，则\(k=\)_________________
\(\int_{2}^{4}\dfrac{1}{x}{dx}\)等于\(({ })\)
定积分\(∫_{-2}^{2}|{x}^{2}-2x|dx= \) \((\) \()\)
积分\(∫_{-1}^{1} (x^{2}+\sin x)dx=(\) \()\)
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\(f(x)=\begin{cases} & {{x}^{2}}(0\leqslant x < 1) \\ & 2-x(1\leqslant x\leqslant 2) \\ \end{cases}\)，则\(\int_{0}^{2}{f(x)dx}\)等于\(…………………………(\) \()\)
设\(f\)\((\)\(x\)\()=\begin{cases}x^{2},\quad x∈[0,1], \\ 2-x,x∈?1,2],\end{cases}\)则\(\int_{_{0}}^{^{2}}f(x)\)\(d\)\(x\)等于( )
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