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Ex 7.1, 17 - Integrate (2x2 - 3 sinx + 5 root(x)) dx - Using Trignometric Formulaes

  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Transcript

Ex 7.1, 17 ﷮﷮ 2 𝑥﷮2﷯−3 sin﷮𝑥﷯+5 ﷮𝑥﷯ ﷯﷯𝑑𝑥 ﷮﷮ 2 𝑥﷮2﷯−3 sin﷮𝑥﷯+5 ﷮𝑥﷯ ﷯﷯𝑑𝑥 =2 ﷮﷮ 𝑥﷮2﷯﷯𝑑𝑥−3 ﷮﷮ sin﷮𝑥﷯﷯𝑑𝑥+5 ﷮﷮ ﷮𝑥﷯﷯𝑑𝑥 =2 ﷮﷮ 𝑥﷮2﷯﷯𝑑𝑥−3 ﷮﷮ sin﷮𝑥﷯﷯𝑑𝑥+5 ﷮﷮ 𝑥﷮ 1﷮2﷯﷯﷯𝑑𝑥 = 2 𝑥﷮2+1﷯﷮2 + 1﷯ −3 −cos﷮𝑥﷯﷯+ 5 𝑥﷮ 1﷮2﷯ + 1﷯﷮ 1﷮2﷯ + 1﷯+𝐶 = 2 𝑥﷮3﷯﷮3﷯+3 cos﷮𝑥﷯+ 5 𝑥﷮ 3﷮2﷯﷯﷮ 3﷮2﷯﷯+𝐶 = 2 𝑥﷮3﷯﷮3﷯+3 cos﷮𝑥﷯+ 5 × 2 𝑥﷮ 3﷮2﷯﷯﷮3﷯+𝐶 = 𝟐 𝒙﷮𝟑﷯﷮𝟑﷯+𝟑 𝒄𝒐𝒔﷮𝒙﷯+ 𝟏𝟎 𝒙﷮ 𝟑﷮𝟐﷯﷯﷮𝟑﷯+𝑪

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