Question

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 :

• A. 3
• B. 5
• C. 7
• D. 9

Answer 1

Answer: (B)

5

Answer 2

$A= \int^3_1y^a.dy=\frac{y^{a+1}}{a+1}|^3_1$

$=\frac{364}{3}$

$a=5$

$\text{The correct option is(B): 5.}$