闭区间[−1,1][-1,1][−1,1]上满足罗尔定理条件的是( )
(A)f(x)=1xf(x)=\dfrac{1}{x}f(x)=x1
(B)f(x)=1f(x)=1f(x)=1
(C)f(x)=∣x∣f(x)=\vert x\vertf(x)=∣x∣
(D)f(x)=1−xf(x)=1 - xf(x)=1−x
定积分等于零的是( )
(A)∫−11dx\int_{-1}^{1}dx∫−11dx
(B)∫−11(x+4−x2)2dx\int_{-1}^{1}(x+\sqrt{4 - x^{2}})^{2}dx∫−11(x+4−x2)2dx
(C)∫−11xsinxdx\int_{-1}^{1}x\sin xdx∫−11xsinxdx
(D)∫−112x1+x2dx\int_{-1}^{1}\dfrac{2x}{1 + x^{2}}dx∫−111+x22xdx
不定积分∫x2ex3dx=\int x^{2}e^{x^{3}}dx = ∫x2ex3dx=( )
(A)ex3+Ce^{x^{3}}+Cex3+C
(B)3ex3+C3e^{x^{3}}+C3ex3+C
(C)3ex33e^{x^{3}}3ex3
(D)13ex3+C\dfrac{1}{3}e^{x^{3}}+C31ex3+C
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