设参数方程{y=3t3+tx=t2−5\begin{cases}y = \sqrt{3t^3}+t\\x = t^2 - 5\end{cases}{y=3t3+tx=t2−5确定了函数y=y(x)y = y(x)y=y(x),则dydx=\dfrac{dy}{dx}=dxdy=( ).
已知x=1x = 1x=1是函数f(x)=alnx+xf(x)=a\ln x + xf(x)=alnx+x的极值点,则a=a=a=( ).
∫01xdx\int_{0}^{1} xdx∫01xdx( )∫01(2x+1)dx\int_{0}^{1}(2x + 1)dx∫01(2x+1)dx(填“>”或“<”)
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