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Ex 7.7
Ex 7.7, 2 Important
Ex 7.7, 3
Ex 7.7, 4
Ex 7.7, 5 Important
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) Important Deleted for CBSE Board 2024 Exams
Ex 7.7, 13 (Supplementary NCERT) Deleted for CBSE Board 2024 Exams
Ex 7.7, 14 (Supplementary NCERT) Important Deleted for CBSE Board 2024 Exams
Last updated at May 29, 2023 by Teachoo
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