1. Tardigrade
  2. Question
  3. Mathematics
  4. The odd natural number a, such that the area of the region bounded by y=1, y=3, x=0, x=ya is (364/3), equal to :

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The odd natural number $a$, such that the area of the region bounded by $y=1, y=3, x=0$, $x=y^a$ is $\frac{364}{3}$, equal to :

JEE MainJEE Main 2022Application of Integrals

Solution:

$ A =\int\limits_1^3 y ^{ a } \cdot dy =\left.\frac{ y ^{ a +1}}{ a +1}\right|_1 ^3=\frac{364}{3} $
$ \Rightarrow a =5$