共50条信息
若\(a=\int_{1}^{2}{{{e}^{x}}}dx\),\(b=\int_{1}^{2}{x}dx\),\(c=\int_{1}^{2}{\dfrac{1}{x}}dx\),则\(a,b,c\)的大小关系是\((\) \()\)
定义:\(\left| \begin{matrix} a & b \\ c & d \\\end{matrix} \right|=ad-bc\),如\(\left| \begin{matrix} 1 & 2 \\ 3 & 4 \\\end{matrix} \right|=1\times 4-2\times 3=-2\),则\(\left| \begin{matrix} \int_{1}^{2}{xdx} & 3 \\ 1 & 2 \\\end{matrix} \right|=(\) \()\).
\(∫_{0}^{2}(3{x}^{2}+k)dx=10 \),则\(k=\)_________________
曲线\(y= \dfrac{2}{x} \)与直线\(y=x-1\)及直线\(x=1\)所围成的封闭图形的面积为
下列各命题中,不正确的是( )
设\(f(x)=\begin{cases} & {{x}^{2}},x\in [0,1] \\ & 2-x,x\in (1,2] \end{cases}\),则\(\int_{0}^{2}{f(x)dx}\)等于\((\) \()\)
若\(∫_{0}^{2}\left(3{x}^{2}+k\right)dx=10 \),则\(k=(\) \()\)
已知\(\int_{0}^{2}{(3{{x}^{2}}+k)dx=16}\) ,则\(k= (\) \()\)
计算定积分\(\int_{1}^{e}{(1+\dfrac{1}{x})dx}=(\) \()\)
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