Ex 7.7, 8 - Integrate root x2 + 3x - Chapter 7 CBSE NCERT - Ex 7.7

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  1. Chapter 7 Class 12 Integrals
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Ex7.7, 8 ﷮𝑥2+3𝑥﷯ ﷮﷮ ﷮ 𝑥﷮2﷯+3𝑥﷯ 𝑑𝑥﷯ = ﷮﷮ ﷮ 𝑥﷮2﷯+2 3﷮2﷯﷯ 𝑥﷯﷯ 𝑑𝑥﷯ = ﷮﷮ ﷮ 𝑥﷮2﷯+2 3﷮2﷯﷯ 𝑥﷯+ 3﷮2﷯﷯﷮2﷯− 3﷮2﷯﷯﷮2﷯﷯ 𝑑𝑥﷯ = ﷮﷮ ﷮ 𝑥+ 3﷮2﷯﷯﷮2﷯− 3﷮2﷯﷯﷮2﷯﷯ 𝑑𝑥﷯ = 𝑥 + 3﷮2﷯﷮2﷯ ﷮ 𝑥+ 3﷮2﷯﷯﷮2﷯− 3﷮2﷯﷯﷮2﷯﷯− 𝑥+ 3﷮2﷯+ ﷮ 𝑥+ 𝑥﷮2﷯﷯﷮2﷯− 3﷮2﷯﷯﷮2﷯﷯﷯+𝐶 = 2𝑥 + 3﷮4﷯ ﷮ 𝑥+ 3﷮2﷯﷯﷮2﷯− 9﷮4﷯﷯ − 9﷮8﷯ 𝑙𝑜𝑔 𝑥+ 3﷮2﷯ ﷮ 𝑥+ 3﷮2﷯﷯﷮2﷯− 9﷮4﷯﷯﷯+𝐶 = 2𝑥 + 3﷮4﷯ ﷮ 𝑥﷮2﷯+ 9﷮4﷯+2 𝑥﷯ 3﷮2﷯﷯− 9﷮4﷯﷯ − 9﷮8﷯ 𝑙𝑜𝑔 𝑥+ 3﷮2﷯+ ﷮ 𝑥﷮2﷯+ 9﷮4﷯+2 𝑥﷯ 3﷮2﷯﷯− 9﷮4﷯﷯﷯+𝐶 = 2𝑥 + 3﷮4﷯ ﷮ 𝑥﷮2﷯+2𝑥 3﷮2﷯﷯﷯− 9﷮8﷯ 𝑙𝑜𝑔 𝑥+ 3﷮2﷯+ ﷮ 𝑥﷮2﷯+2𝑥 3﷮2﷯﷯﷯﷯+𝐶 = 𝟐𝒙 + 𝟑﷮𝟒﷯ ﷮ 𝒙﷮𝟐﷯+𝟑𝒙﷯− 𝟗﷮𝟖﷯ 𝒍𝒐𝒈 𝒙+ 𝟑﷮𝟐﷯+ ﷮ 𝒙﷮𝟐﷯+𝟑𝒙﷯﷯+𝑪

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