# The area between x = y2 and x = 4 is divided into two equal parts by the line x = a, find the value of a. It is given that the area between x = y2 and x = 4 is divided into two equal parts by the line x = a.

Thus, Area OAD = Area ABCD

Now, we can observed that the given area is symmetrical about x-axis.

Area OED = Area EFCD

Now, Area of OED =  Area of EFCD =  Therefore, from equations (1) and (2), we get,   a = (4)2/3

Hence, the required value of a is (4)2/3.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Fundamental Integration Formula59 mins  Application of Biotechnology48 mins  Integration by Substitution56 mins  Interactive Quiz on Integration by Parts56 mins  Interactive Quiz on Integration by Substitution47 mins  Lecture on Integration by parts55 mins  Lecture on some forms of integration54 mins  Lecture on integration by partial fractions62 mins  How to find Maxima & Minima?43 mins  Tangent & Normal To A Curve53 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 