Ex 7.2, 26 - Chapter 7 Class 12 Integrals
Last updated at Sept. 21, 2018 by Teachoo
Transcript
Ex 7.2, 26 cos 𝑥 𝑥 Step 1: Let 𝑥=𝑡 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 12 𝑥 12 − 1= 𝑑𝑡𝑑𝑥 12. 𝑥− 12= 𝑑𝑡𝑑𝑥 12 𝑥 = 𝑑𝑡𝑑𝑥 𝑑𝑥 =2 𝑥 . 𝑑𝑡 𝑑𝑥 =2𝑡 . 𝑑𝑡 Step 2: Integrating the function cos 𝑥 𝑥 . 𝑑𝑥 putting 𝑥=𝑡 & 𝑑𝑥=2𝑡 . 𝑑𝑡 = cos𝑡𝑡. 2𝑡 . 𝑑𝑡 = 2 cos𝑡. 𝑑𝑡 = 2 cos𝑡. 𝑑𝑡 = 2 sin𝑡+𝐶 = 𝟐 𝒔𝒊𝒏 𝒙+𝑪
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