Ex 7.9, 1 - Find Direct Integral (x + 1) from -1 to 4 - Ex 7.9

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex7.9, 1 −1﷮4﷮ 𝑥+1﷯𝑑𝑥﷯ Step 1 :- F 𝑥﷯= ﷮﷮ 𝑥+1﷯𝑑𝑥﷯ = 𝑥﷮1+1﷯﷮1+1﷯+𝑥 = 𝑥﷮2﷯﷮2﷯+𝑥 Hence F 𝑥﷯= 𝑥﷮2﷯﷮2﷯+𝑥 Step 2 :- −1﷮1﷮ 𝑥+1﷯𝑑𝑥=𝐹 1﷯−𝐹 −1﷯﷯ = 1﷯﷮2﷯﷮2﷯+1﷯− −1﷯﷮2﷯﷮2﷯+(−1) = 1﷮2﷯+1﷯− 1﷮2﷯−1﷯ = 1﷮2﷯+1− 1﷮2﷯+1 = 1﷮2﷯− 1﷮2﷯+1+1 = 2

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