Ex 7.9, 1 - Evaluate definite integral x / x2 1 dx - Ex 7.9
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Ex 7.9, 1 - Evaluate definite integral x / x2 1 dx - Ex 7.9
Ex 7.9, 1 Evaluate the integrals using substitution∫_0^1 〖𝑥/(𝑥^2 1) 𝑑𝑥〗 We need to find ∫_𝟎^𝟏 〖𝒙/(𝒙^𝟐 𝟏) 𝒅𝒙〗Let 𝒕=𝒙^𝟐 𝟏Differentiating w.r.t. 𝑥 𝑑𝑡/𝑑𝑥=𝑑/𝑑𝑥 (𝑥^2 1) 𝑑𝑡/𝑑𝑥=2𝑥 𝒅𝒕/𝟐𝒙=𝒅𝒙Now,when 𝒙 varies from 0 to 1 then 𝒕 ...
Dec 16, 2024
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