Integration Full Chapter Explained - Integration Class 12 - Everything you need

Last updated at Sept. 24, 2018 by Teachoo

Transcript

Ex 7.7, 6 - Chapter 7 Class 12 Integrals - NCERT Integrate √(x^2 + 4x − 5) ∫√(x^2 + 4x − 5) dx = ∫√(x^2 + 2.2.x − 5) dx Adding and subtracting 2^2 = ∫√(x^2 + 2.2.x +(2)^2 - (2)^2 − 5) dx = ∫√((x + 2)^2 - 9) dx = ∫√((x + 2)^2 - 3^2) dx It is of the form ∫√x^2 - a^2 dx = x/2 √x^2 - a^2 - a^2/2 log |x + √x^2 - a^2| + C Replacing x by x + 2. a by 3 = (𝑥+2)/2 √(𝑥^2+4𝑥+4−9)−9/2 𝑙𝑜𝑔|𝑥+2+√(𝑥^2+4𝑥+4−9)|+𝐶 =(𝒙 + 𝟐)/𝟐 √(𝒙^𝟐+𝟒𝒙−𝟓)−𝟗/𝟐 𝒍𝒐𝒈|𝒙+𝟐+√(𝒙^𝟐+𝟒𝒙−𝟓)|+𝑪

Ex 7.7

Ex 7.7, 1

Ex 7.7, 2 Important

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Ex 7.7, 5

Ex 7.7, 6 You are here

Ex 7.7, 7 Important

Ex 7.7, 8 Important

Ex 7.7, 9

Ex 7.7, 10

Ex 7.7, 11 Important

Ex 7.7, 12 (Supplementary NCERT) Deleted for CBSE Board 2021 Exams only

Ex 7.7, 13 (Supplementary NCERT) Deleted for CBSE Board 2021 Exams only

Ex 7.7, 14 (Supplementary NCERT) Important Deleted for CBSE Board 2021 Exams only

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