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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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