If d φ = p  n + q tan − 1 (sin φ− r) + C then p + q + r…

Maths Indefinite Integral General Numeric Response

Published by: CGP EDU Academic Team

Published on: August 12, 2026

If d φ = p  n + q tan − 1 (sin φ− r) + C then p + q + r equal to

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The correct answer is:

(11)

Sol. Ι = d φ

= put sin φ = t ⇒ cos φ d φ = dt

⇒Ι = = 2 = 2 [  n|t 2 – 4t + 5|] + 7

= 2 [  n|t 2 – 4t + 5|] + 7 tan –1 = 2  n + 7 tan − 1 (sin φ− 2) + C

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