Ex 7.7, 1 √(4−𝑥2) ∫1▒〖√(4−𝑥^2 ).𝑑𝑥〗 =∫1▒〖√((𝟐)^𝟐−𝒙^𝟐 ).𝒅𝒙〗 =1/2 𝑥√((2)^2−𝑥^2 )+(2)^2/2 𝑠𝑖𝑛^(−1) 𝑥/2+𝐶 =𝒙/𝟐 √(𝟒−𝒙^𝟐 )+𝟐 𝒔𝒊𝒏^(−𝟏) 𝒙/𝟐+𝑪 It is of the form ∫1▒〖√(𝑎^2−𝑥^2 ). 𝑑𝑥=1/2 𝑥√(𝑎^2−𝑥^2 )+𝑎^2/2 𝑠𝑖𝑛^(−1) 𝑥/𝑎+𝐶〗 Replacing a with 2, we get

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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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