Example 24 - Find integral root 3 - 2x - x2 dx - Examples

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Example 24 Find ﷐﷮﷮﷐﷮3−2𝑥−﷐𝑥﷮2﷯﷯﷯ 𝑑𝑥 ﷐﷮﷮﷐﷮3−2𝑥−﷐𝑥﷮2﷯﷯ 𝑑𝑥﷯ =﷐﷮﷮﷐﷮3−﷐2𝑥−﷐𝑥﷮2﷯﷯﷯﷯𝑑𝑥 Adding and Subtracting ﷐1﷮2﷯ =﷐﷮﷮﷐﷮3−﷐﷐𝑥﷮2﷯+2𝑥+﷐1﷮2﷯−﷐1﷮2﷯﷯﷯﷯ 𝑑𝑥 =﷐﷮﷮﷐﷮3−﷐﷐𝑥﷮2﷯+2𝑥+﷐1﷮2﷯﷯+1﷯﷯ 𝑑𝑥 =﷐﷮﷮﷐﷮3+1−﷐﷐𝑥﷮2﷯+2𝑥+﷐1﷮2﷯﷯﷯﷯ 𝑑𝑥 =﷐﷮﷮﷐﷮4−﷐﷐𝑥﷮2﷯+2𝑥+﷐1﷮2﷯﷯﷯﷯ 𝑑𝑥 =﷐﷮﷮﷐﷮﷐2﷮2﷯−﷐﷐𝑥+1﷯﷮2﷯﷯﷯ 𝑑𝑥 =﷐﷮﷮﷐﷮﷐2﷮2﷯−﷐﷐𝑥+1﷯﷮2﷯﷯﷯ 𝑑𝑥 =﷐1﷮2﷯﷐𝑥+1﷯﷐﷮﷐2﷮2﷯−﷐﷐𝑥+1﷯﷮2﷯﷯+﷐﷐2﷮2﷯﷮2﷯𝑠𝑖﷐𝑛﷮−1﷯﷐﷐𝑥 + 1﷯﷮2﷯+𝐶 =﷐𝟏﷮𝟐﷯﷐𝒙+𝟏﷯﷐﷮𝟑−𝟐𝒙+﷐𝒙﷮𝟐﷯﷯+𝟐 𝒔𝒊﷐𝒏﷮−𝟏﷯﷐﷐𝒙 + 𝟏﷯﷮𝟐﷯+𝑪

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