共50条信息
定积分\(\int_{0}^{1}\dfrac{1}{1{+}x}{dx}\)的值为\((\) \()\)
若\(\int_{0}^{a}{2dx=2}\),则\(a=\)____.
计算\(\int{\begin{matrix} & 2\pi \\ & 0 \\ \end{matrix}}|\sin x|dx=\)_______________.
求由曲线\(y=x^{3}\)与直线\(y=2x\)所围成的图形面积
\(\int_{e}^{a}{\dfrac{1}{x}}dx=3\),则\(a=\)( )
如图,\(ABCD\)是边长为\(l\)的正方形,\(O\)为\(AD\)的中点,抛物线的顶点为\(O\)且通过点\(C\),则阴影部分的面积为( )
\({\int }{{ }}_{0}^{\frac{\pi}{2}}\sin^{2}\dfrac{x}{2}dx{=}({ })\)
计算\(\int_{1}^{2}{(x+\dfrac{1}{x})dx}\)的值为
一物体在力\(F(x)=4x-1(\)单位:\(N)\)的作用下,沿着与力\(F(x)\)相同的方向从\(x=1\)运动到\(x=3\)处\((\)单位:\(m)\),则力\(F(x)\)所做的功为 ( )
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 \((\) \()\)
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