Question

Find the number a such that the line x = a divides the region bounded by the curves x = y2 − 1 and the y-axis into 2 regions with equal area. Give your answer correct to 3 decimal places.

Answer 1

At first the full are that we are talking about:
The boundaries are:
\(\large\color{black}{ \displaystyle x=y^2-1 }\)
\(\large\color{black}{ \displaystyle x=0 }\)
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