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← JEE Main 2022 · 26 Jul · Shift 1
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JEE Main 2022 · 26 Jul · Shift 1, Mathematics question 5

The odd natural number a, such that the area of the region bounded by y=1y=1, y=3y=3, x=0x=0, x=yax=y^a is 3643\dfrac{364}3, is equal to :

Choose one option
Answer and worked solution

Official answer: B

Area ∫13ya dy=3a+1−1a+1=3643\displaystyle\int_1^3y^a\,dy=\frac{3^{a+1}-1}{a+1}=\frac{364}3: a=5a=5 gives 7286\frac{728}6.

(B)

Topics:Area under a curve
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