# Chapter 7 Class 12

Ex 7.2, 16 – Chapter 7 Class 12 Integrals

Last updated at May 29, 2023 by Teachoo

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Last updated at May 29, 2023 by Teachoo

Ex 7.2, 16 Integrate the function: 𝑒2𝑥 + 3 Step 1: Let 2𝑥 + 3 = 𝑡 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 2+0= 𝑑𝑡𝑑𝑥 2= 𝑑𝑡𝑑𝑥 𝑑𝑥 = 𝑑𝑡2 Step 2: Integrating the function 𝑒2𝑥 + 3 . 𝑑𝑥 Putting 2𝑥+3=𝑡 & 𝑑𝑥= 𝑑𝑡2 = 𝑒𝑡 . 𝑑𝑡2 = 12 𝑒𝑡 . 𝑑𝑡 = 12 𝑒𝑡+𝐶 = 𝒆𝟐𝒙 + 𝟑𝟐 + 𝑪

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