Q.2 (iii) Evaluate : ∫ 1/x² + 25 dx

Answer: 1/5tan⁻¹(x/5) + c Using ∫ 1/x² + a²dx = 1/atan⁻¹(x/a) + c with a = 5 .

Evaluate : \(\int \frac{1}{x^2 + 25}\,dx\)

Q.2 (iii) Evaluate : \(\int \frac{1}{x^2 + 25}\,dx\)

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

Best answer

Answer: \(\frac{1}{5}\tan^{-1}\left(\frac{x}{5}\right) + c\)

Using \(\int \frac{1}{x^2 + a^2}dx = \frac{1}{a}\tan^{-1}\left(\frac{x}{a}\right) + c\) with \(a = 5\).

Doubtly AI · 29 Oct 2026 AI-generated · not yet verified Report

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