# Ex 7.1, 21 - Chapter 7 Class 12 Integrals

Last updated at Dec. 8, 2016 by Teachoo

Last updated at Dec. 8, 2016 by Teachoo

Transcript

Ex 7.1, 21 The anti derivative of 𝑥+ 1 𝑥 equals (A) 13 x 13 + 2x 12 + C (B) 23 x 23 + 12 x2 + C (c) 23 x 32 +2x 12 + C (D) 23 x 32 + 12 x 12 + C 𝑥+ 1 𝑥𝑑𝑥 = 𝑥 12+ 1 𝑥 12𝑑𝑥 = 𝑥 12+ 𝑥 −12𝑑𝑥 = 𝑥 12𝑑𝑥+ 𝑥 −12𝑑𝑥 = 𝑥 12 + 1 12 + 1 + 𝑥 −12 + 1 −12 + 1 + 𝐶 = 𝑥 32 32 + 𝑥 12 12 + 𝐶 = 23 𝑥 32 +2 𝑥 12+ 𝐶 ∴ Option (C) is correct .

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