Ex 7.4, 10

Last updated at Dec. 8, 2016 by Teachoo

Ex 7.4, 10 - Integrate 1 / root x2 + 2x + 2 - Ex 7.4

Transcript

Ex 7.4, 10 1/√(𝑥^2 + 2𝑥 + 2) Integrating the function 𝑤.𝑟.𝑡.𝑥 ∫1▒1/√(𝑥^2 + 2𝑥 + 2) 𝑑𝑥 =∫1▒1/√(𝑥^2 + 2(𝑥)(1) + 2) 𝑑𝑥 =∫1▒1/√(𝑥^2 + 2(𝑥)(1) + (1)^2 − (1)^2 + 2) 𝑑𝑥 =∫1▒1/√((𝑥 + 1)^2 − 1 + 2) 𝑑𝑥 =∫1▒1/√((𝑥 + 1)^2 + 1) 𝑑𝑥 =∫1▒1/√((𝑥 + 1)^2 + (1)^2 ) 𝑑𝑥 =log⁡|𝑥+1+√((𝑥+1)^2 + (1)^2 )|+𝐶 =log⁡|𝑥+1+√(𝑥^2 +2𝑥+1+1)|+𝐶 =𝒍𝒐𝒈⁡|𝒙+𝟏+√(𝒙^𝟐 +𝟐𝒙+𝟐)|+𝑪

Ex 7.4

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Chapter 7 Class 12 Integrals

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