Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

If \(A_{n}\) is the area bounded by \(y=\left(1-x^2\right)^n\) and coordinate axes \(n \in \mathbb{N}\) then 

Options:

\(A_{n}=A_{n-1}\)

\(A_{n}<A_{n-1}\)

\(A_{n}>A_{n-1}\)

\(A_{n}\geq A_{n-1}\)

Correct Answer:

\(A_{n}<A_{n-1}\)

Explanation:

Sketch and compare the areas.