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)

$A=\underset{1}{\overset{3}{\int }}{y}^a\cdot dy={\frac{y^{a+1}}{a+1}|}_1^3=\frac{364}{3}$
$\Rightarrow a=5$