Ex 7.7, 1 - Chapter 7 Class 12 Integrals (Term 2)

Last updated at Sept. 25, 2018 by Teachoo

Ex 7.7, 1 - Integrate root 4 - x2 - Chapter 7 Class 12 - Integration by specific formulaes - Formula 8

Transcript

Ex 7.7, 1 - Chapter 7 Class 12 Integration - NCERT Solutions Integrate √(4 - x^2) ∫√(4 − x^2 ) dx =∫1▒〖√((2)^2−𝑥^2 ).𝑑𝑥〗 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 =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

Ex 7.7

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Chapter 7 Class 12 Integrals (Term 2)

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Ex 7.1
Ex 7.2
Ex 7.3
Ex 7.4
Ex 7.5
Ex 7.6
Ex 7.7
Ex 7.8
Ex 7.9
Ex 7.10
Ex 7.11
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