Ex 7.6, 1 - Chapter 7 Class 12 Integrals

Last updated at Dec. 16, 2024 by Teachoo

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Ex 7.6, 1 𝑥 sin⁡𝑥 ∫1▒〖𝑥 sin⁡𝑥 〗 𝑑𝑥 ∫1▒〖𝑥 sin⁡𝑥 〗 𝑑𝑥=𝒙 ∫1▒𝐬𝐢𝐧⁡𝒙 𝒅𝒙−∫1▒(𝒅(𝒙)/𝒅𝒙 ∫1▒〖𝒔𝒊𝒏⁡𝒙 𝒅𝒙〗) 𝒅𝒙 = − 𝑥 cos⁡𝑥 − ∫1▒〖−cos⁡〖𝑥 𝑑𝑥〗〗 = − 𝑥 cos⁡𝑥+ ∫1▒〖cos⁡𝑥+𝐶〗 = − 𝒙 𝒄𝒐𝒔⁡𝒙+𝒔𝒊𝒏⁡𝒙+𝑪 " " Algebraic Trigonometric We know that ∫1▒〖𝑓(𝑥) 𝑔⁡(𝑥) 〗 𝑑𝑥=𝑓(𝑥) ∫1▒𝑔(𝑥) 𝑑𝑥−∫1▒(𝑓^′ (𝑥) ∫1▒𝑔(𝑥) 𝑑𝑥) 𝑑𝑥 Putting f(x) = x and g(x) = sin x

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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

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