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Ex 7.2, 1 Class 12 Maths - Integrate 2x/ 1 + x^2 - Chapter 7

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Ex 7.2, 1Integrate the function: 2𝑥/(1 𝑥2) We need to find ∫1 𝟐𝒙/(𝟏 𝒙𝟐) 𝒅𝒙 Let 𝟏 𝒙𝟐 = 𝒕Differentiating 𝑤.𝑟.𝑡.𝑥 2𝑥=𝑑𝑡/𝑑𝑥 𝒅𝒙=𝒅𝒕/𝟐𝒙Thus, our equation becomes ∫1 𝟐𝒙/(𝟏 𝒙𝟐) 𝒅𝒙 =∫1 2𝑥/𝑡 . 𝑑𝑡/2𝑥 =∫1 𝑑𝑡/𝑡 = log |𝒕 ...

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