The area between x = y^2 and x = 4 is divided into two equal parts | Filo
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Class 12

Math

Calculus

Application of Integrals

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The area between and is divided into two equal parts by the line , find the value of .

Solution:

The line, , divides the area bounded by the parabola and into two equal parts.
\therefore \mbox{Area}\ OAD=\text{Area} \ ABCD

It can be observed that the given area is symmetrical about x-axis.
Area Area

Area


.............. (1)

Area of


........... (2)

From (1) and (2), we obtain





Therefore, the value of a is .
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