Definite integrals

Question code: 1912

Question 0906

The diagram shows the curve with equation

{y = x^9.}

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

{x = 1, x = 2}

and the

{x}

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

{y = a, y = 512}

and the

{y}

-axis, where

{a < 512.}

Find the value of

{a.}

Answer

{461.}

Question code: 1912