Ex 7.7, 6 - Chapter 7 Class 12 Integrals
Last updated at April 18, 2024 by Teachoo
Ex 7.7
Ex 7.7, 2 Important
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Ex 7.7, 5 Important
Ex 7.7, 6 You are here
Ex 7.7, 7 Important
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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 April 18, 2024 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