Use this property to find numerical lower and upper bounds for the value of the following definite integral. Do not compute the integral.
[ ∫₀⁵ x³ , dx ]
a) ( /{125}/{4} ) to ( /{625}/{4} )
b) ( /{100}/{3} ) to ( /{500}/{3} )
c) ( /{64}/{3} ) to ( /{256}/{3} )
d) ( /{216}/{5} ) to ( /{1080}/{5} )