The odd natural number a, such that the area of the region bounded by y=1,y=3,x=0,x=ya is 3643, equal to

Question

The odd natural number

a

, such that the area of the region bounded by

y = 1, y = 3, x = 0, x = y^{a}

\frac{364}{3}

, equal to

3

5

7

9

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