Mathematics Part-II

Book: Mathematics Part-II

Chapter: 7. Integrals

Subject: Maths - Class 12th

Q. No. 1 of Miscellaneous Exercise

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1

Integrate the function:

Given:

Let


Using partial differentiation:


let




⇒ 1 = A – Ax2 + Bx – Bx2 + Cx + Cx2


⇒ 1 = A + (B+C)x + (-A-B+C)x2


Equating the coefficients of x, x2 and constant value. We get:


(a) A = 1


(b) B+C = 0 ⇒ B = -C


(c) -A –B +C =0


⇒ -1 – (-C) +C = 0


⇒ 2C = 1 ⇒ C = 1/2


So, B = -1/2


Put these values in equation (1)











1

Chapter Exercises

Exercise 7.2
Exercise 7.4
Exercise 7.5
Exercise 7.3
Exercise 7.1
Exercise 7.6
Exercise 7.8
Exercise 7.9
Exercise 7.10
Exercise 7.11
Exercise 7.7
Miscellaneous Exercise

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