Q.1 (B) (ii) State whether true or false: ∫1/2x+3 dx=log|2x+3|+c

Answer: False ∫1/ax+b dx=1/alog|ax+b|+c . So ∫1/2x+3 dx=1/2log|2x+3|+c , not log|2x+3|+c .

State whether true or false: \(\int\frac{1}{2x+3}\,dx=\log|2x+3|+c\)

Q.1 (B) (ii) State whether true or false: \(\int\frac{1}{2x+3}\,dx=\log|2x+3|+c\)

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

Best answer

Answer: False

\(\int\frac{1}{ax+b}\,dx=\frac{1}{a}\log|ax+b|+c\). So \(\int\frac{1}{2x+3}\,dx=\frac{1}{2}\log|2x+3|+c\), not \(\log|2x+3|+c\).

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

Was this answer helpful?