![Ex 7.2, 16 - Chapter 7 Class 12 Integrals - Part 2](https://d1avenlh0i1xmr.cloudfront.net/a5e6fc6c-005a-4702-b05e-75d7357ab454/slide6.jpg)
Ex 7.2
Last updated at April 16, 2024 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