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  • The odd natural number a, such that the area of the region bounded by  <img alt="\ma

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

Option: 1

3


Option: 2

5


Option: 3

7


Option: 4

9


Answers (1)

best_answer

\mathrm{A=\int_{1}^{3} y^{a} \cdot d y=\left.\frac{y^{a+1}}{a+1}\right|_{1} ^{3}=\frac{364}{3}}

\mathrm{a=5}

Hence correct option is 2

Posted by

Divya Prakash Singh

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