Chapter 7 Class 12 Integrals
Concept wise

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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo