共50条信息
定积分\({\int }{{ }}_{{-}2}^{2}{|}x^{2}{-}2x{|}{dx}{=}({ })\)
已知\(a=\dfrac{1}{\pi }\underset{2}{\overset{-2}{\int}}\,\left( \sqrt{4-{{x}^{2}}}+{\sin }x \right)dx\),则二项式\({{\left( \dfrac{x}{2}-\dfrac{a}{{{x}^{2}}} \right)}^{9}}\)的展开式中的常数项为 \((\) \()\)
\(∫_{0}^{1}( \sqrt{1−(x−1{)}^{2}}−{x}^{2})dx \)的值是\(({ })\).
\(\int_{_{0}}^{^{1}} (e^{x}+2x) d x\)等于\((\) \()\)
\({\int }_{-\frac{\pi }{2}}^{\frac{\pi }{2}}(1-\cos x)dx=({{}}_{{}}{{}}_{{}})\)
如图阴影部分面积是( )
设函数\(f(x)=\begin{cases}{e}^{x},-1\leqslant x\leqslant 0 \\ \sqrt{1-{x}^{2}},0 < x\leqslant 1\end{cases} \),计算\(∫_{-1}^{1}f(x)dx \)的值为\((\) \()\).
计算\(∫_{1}^{2}\left(x+ \dfrac{1}{x}\right)dx \)的值为
如图,长方形的四个顶点坐标为\(O(0,0)\),\(A(4,0)\),\(B(4,2)\),\(C(0,2)\),曲线\(y=\sqrt{x}\)经过点\(B\),现将质点随机投入长方形\(OABC\)中,则质点落在图中阴影部分的概率为\((\) \()\)
已知等差数列\(\{a_{n}\}\)中,\(a_{5}+a_{7}=\int _{0}^{π}\sin xdx \),则\(a_{4}+a_{6}+a_{8}=(\) \()\)
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