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
f(x)={x2,x≤1ax−1,x>1f(x)=\begin{cases}x^{2},&x\leq1\\ax - 1,&x > 1\end{cases}f(x)={x2,ax−1,x≤1x>1在x=1x = 1x=1处连续,则a=a=a=( ).
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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