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Ex 7.6
Ex 7.6, 2 Important
Ex 7.6, 3
Ex 7.6, 4
Ex 7.6, 5 Important
Ex 7.6, 6
Ex 7.6, 7 Important
Ex 7.6, 8 You are here
Ex 7.6, 9
Ex 7.6, 10 Important
Ex 7.6, 11
Ex 7.6, 12
Ex 7.6, 13 Important
Ex 7.6, 14 Important
Ex 7.6, 15
Ex 7.6, 16
Ex 7.6, 17
Ex 7.6, 18 Important
Ex 7.6, 19
Ex 7.6, 20 Important
Ex 7.6, 21
Ex 7.6, 22 Important
Ex 7.6, 23 (MCQ)
Ex 7.6, 24 (MCQ) Important
Last updated at May 29, 2023 by Teachoo
Ex 7.6, 8 𝑥 tan−1𝑥 𝑥 tan−1𝑥 𝑑𝑥 𝑥 tan−1𝑥 𝑑𝑥 = tan−1𝑥𝑥 𝑑𝑥 = tan−1𝑥 𝑥𝑑𝑥− 𝑑 tan−1𝑥𝑑𝑥 𝑥 .𝑑𝑥𝑑𝑥 = tan−1𝑥. 𝑥22 − 11 + 𝑥2 . 𝑥22. 𝑑𝑥 = 𝑥22 tan−1𝑥− 12 𝑥2 𝑥2 + 1 𝑑𝑥 = 𝑥22 tan−1𝑥− 12 𝑥2 + 1 − 1 𝑥2 + 1 𝑑𝑥 = 𝑥22 tan−1𝑥− 12 𝑥2 + 1 𝑥2 + 1 𝑑𝑥− 𝑑𝑥 𝑥2 + 1 = 𝑥22 tan−1𝑥− 12 𝑑𝑥− 𝒅𝒙 𝒙𝟐 + 𝟏 = 𝑥22 tan−1𝑥− 12𝑥+ 12 × 𝟏𝟏 𝐭𝐚𝐧−𝟏 𝒙𝟏+𝐶 = 𝒙𝟐𝟐 𝐭𝐚𝐧−𝟏𝒙− 𝒙𝟐+ 𝟏𝟐 𝐭𝐚𝐧−𝟏 𝒙+𝑪