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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


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Ex 7.6, 1 π‘₯ sin⁑π‘₯ ∫1β–’γ€–π‘₯ sin⁑π‘₯ γ€— 𝑑π‘₯ ∫1β–’γ€–π‘₯ sin⁑π‘₯ γ€— 𝑑π‘₯=𝒙 ∫1▒𝐬𝐒𝐧⁑𝒙 π’…π’™βˆ’βˆ«1β–’(𝒅(𝒙)/𝒅𝒙 ∫1β–’γ€–π’”π’Šπ’β‘π’™ 𝒅𝒙〗) 𝒅𝒙 = βˆ’ π‘₯ cos⁑π‘₯ βˆ’ ∫1β–’γ€–βˆ’cos⁑〖π‘₯ 𝑑π‘₯γ€— γ€— = βˆ’ π‘₯ cos⁑π‘₯+ ∫1β–’γ€–cos⁑π‘₯+𝐢〗 = βˆ’ 𝒙 𝒄𝒐𝒔⁑𝒙+π’”π’Šπ’β‘π’™+π‘ͺ " " Algebraic Trigonometric We know that ∫1▒〖𝑓(π‘₯) 𝑔⁑(π‘₯) γ€— 𝑑π‘₯=𝑓(π‘₯) ∫1▒𝑔(π‘₯) 𝑑π‘₯βˆ’βˆ«1β–’(𝑓^β€² (π‘₯) ∫1▒𝑔(π‘₯) 𝑑π‘₯) 𝑑π‘₯ 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.