Q.1 (A) (vi) ∫₋₉⁹x³/4-x² dx = _____. A. 1 B. 0 C. -1 D. 3x²/(4-x²)²

Answer: B. 0 Answer: (b) 0 Let f(x)=x³/4-x² . Then f(-x)=-x³/4-x²=-f(x) , so f is an odd function. For an odd function ∫_(-a)^af(x) dx=0 .

\(\int_{-9}^{9}\frac{x^3}{4-x^2}\,dx\) = _____.

Q.1 (A) (vi) \(\int_{-9}^{9}\frac{x^3}{4-x^2}\,dx\) = _____.

A. 1

B. 0

C. \(-1\)

D. \(\frac{3x^2}{(4-x^2)^2}\)

Doubtly Asked 28 Oct 2026 Board exam · June 2026 hsc 12th Save WhatsApp Report

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Answer: B. 0

Answer: (b) 0

Let \(f(x)=\frac{x^3}{4-x^2}\). Then \(f(-x)=\frac{-x^3}{4-x^2}=-f(x)\), so \(f\) is an odd function. For an odd function \(\int_{-a}^{a}f(x)\,dx=0\).

Doubtly AI · 28 Oct 2026 AI-verified · Oct 2026 Report

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\(\int_{-9}^{9}\frac{x^3}{4-x^2}\,dx\) = _____.

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