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Ex 7.2, 16 - Integrate e 2x+3 - Chapter 7 Class 12 - Integration by substitution - e^x

Ex 7.2, 16 - Chapter 7 Class 12 Integrals - Part 2

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Transcript

Ex 7.2, 16 Integrate the function: 𝑒﷮2𝑥 + 3﷯ Step 1: Let 2𝑥 + 3 = 𝑡 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 2+0= 𝑑𝑡﷮𝑑𝑥﷯ 2= 𝑑𝑡﷮𝑑𝑥﷯ 𝑑𝑥 = 𝑑𝑡﷮2﷯ Step 2: Integrating the function ﷮﷮ 𝑒﷮2𝑥 + 3﷯ ﷯ . 𝑑𝑥 Putting 2𝑥+3=𝑡 & 𝑑𝑥= 𝑑𝑡﷮2﷯ = ﷮﷮ 𝑒﷮𝑡﷯﷯ . 𝑑𝑡﷮2﷯ = 1﷮2﷯ ﷮﷮ 𝑒﷮𝑡﷯﷯ . 𝑑𝑡 = 1﷮2﷯ 𝑒﷮𝑡﷯+𝐶 = 𝒆﷮𝟐𝒙 + 𝟑﷯﷮𝟐﷯ + 𝑪

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