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Ex 7.2, 22 - Integrate sec2 (7 - 4x) - Chapter 7 Class 12 - Integration by substitution - Trignometric - Normal

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex 7.2, 22 sec﷮2﷯ 7 – 4𝑥﷯ Step 1: Let 7 – 4𝑥=𝑡 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 0−4= 𝑑𝑡﷮𝑑𝑥﷯ −4= 𝑑𝑡﷮𝑑𝑥﷯ 𝑑𝑥 = 𝑑𝑡﷮−4﷯ Step 2: Integrating the function ﷮﷮ sec﷮2﷯ 7 – 4𝑥﷯﷯. 𝑑𝑥 putting 7− 4𝑥=𝑡 & 𝑑𝑥= 𝑑𝑡﷮−4﷯ = ﷮﷮ sec﷮2﷯ 𝑡﷯﷯. 𝑑𝑡﷮−4﷯ = − 1﷮4﷯ ﷮﷮ sec﷮2﷯ 𝑡﷯﷯. 𝑑𝑡 = − 1﷮4﷯ tan﷮ 𝑡﷯﷯+𝐶 = − 𝟏﷮𝟒﷯ 𝒕𝒂𝒏﷮ 𝟕−𝟒𝒙﷯﷯+𝑪

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