Question 1008a

Definite Integrals: Areas and Volumes

2008 Paper 1 Question 1 Variant

Question

A curve has equation

{y = x^3.}

The area of the region bounded by the curve, the lines

{x=1,}

{x=2}

and the

{x\textrm{-axis}}

is equal to the area of the region bounded by the curve, the lines

{y=1,}

{y=a}

and the

{y\textrm{-axis},}

where

{a > 1.}

Find the value of

{a.}

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