Ex 7.1, 10 - Chapter 7 Class 12 Integrals (Important Question)

Last updated at Dec. 16, 2024 by Teachoo

Ex 7.1, 10 - Integrate (root(x) - 1/root(x))2 dx - Ex 7.1

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Transcript

Ex 7.1, 10 ﷮﷮ ﷮𝑥﷯− 1﷮ ﷮𝑥﷯﷯﷯﷮2﷯﷯𝑑𝑥 ﷮﷮ ﷮𝑥﷯− 1﷮ ﷮𝑥﷯﷯﷯﷮2﷯﷯𝑑𝑥 = ﷮﷮ ﷮𝑥﷯ ﷯﷮2﷯+ 1﷮ ﷮𝑥﷯﷯﷯﷮2﷯−2 ﷮𝑥﷯ ﷯ 1﷮ ﷮𝑥﷯﷯﷯﷯﷯𝑑𝑥 = ﷮﷮ 𝑥+ 1﷮𝑥﷯ −2﷯﷯𝑑𝑥 = ﷮﷮ 𝑥+ 1﷮𝑥﷯ −2 𝑥﷮0﷯﷯﷯𝑑𝑥 = ﷮﷮𝑥﷯𝑑𝑥+ ﷮﷮ 1﷮𝑥﷯﷯ 𝑑𝑥−2 ﷮﷮ 𝑥﷮0﷯﷯𝑑𝑥 = 𝑥﷮1 + 1﷯﷮1 + 1﷯ + log ﷮ 𝑥﷯﷯− 2 𝑥﷮0 + 1﷯﷮0 + 1﷯+𝐶 = 𝒙﷮𝟐﷯﷮𝟐﷯ + 𝐥𝐨𝐠 ﷮ 𝒙﷯﷯−𝟐𝒙+𝑪

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