Q.1 (A)(v) displaystyle∫₋₂³ dx/(x + 5) = ____. A. -log(8/3) B. 3log(3/8) C. log(8/3) D. -2log(3/8)

Answer: (c) log(8/3) displaystyle∫₋₂³ dx/(x + 5) = Big[log|x + 5|Big]₋₂³ = log 8 - log 3 = log(8/3).

\(\displaystyle\int_{-2}^{3} \frac{dx}{x + 5} =\) ____.

Q.1 (A)(v) \(\displaystyle\int_{-2}^{3} \frac{dx}{x + 5} =\) ____.

A. \(-\log\left(\dfrac{8}{3}\right)\)

B. \(3\log\left(\dfrac{3}{8}\right)\)

C. \(\log\left(\dfrac{8}{3}\right)\)

D. \(-2\log\left(\dfrac{3}{8}\right)\)

Doubtly Asked 29 Oct 2026 Board exam · July 2024 hsc 12th Save WhatsApp Report

Best answer

Answer: (c) \(\log\left(\dfrac{8}{3}\right)\)

\(\displaystyle\int_{-2}^{3} \frac{dx}{x + 5} = \Big[\log|x + 5|\Big]_{-2}^{3} = \log 8 - \log 3 = \log\left(\frac{8}{3}\right)\).

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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