JEE Mains · Maths · STD 12 - 8. Application and integration
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 & Solution
Correct Answer
(B) \(5\)
Step-by-step Solution
Detailed explanation
\(A=\int_{1}^{3} y^{a} \cdot d y=\left.\frac{y^{a+1}}{a+1}\right|_{1} ^{3}=\frac{364}{3}\) \(a =5\)
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