Mathematics Part-II

Book: Mathematics Part-II

Chapter: 7. Integrals

Subject: Maths - Class 12th

Q. No. 22 of Exercise 7.4

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22

Integrate the functions.

Let x + 3 =

⇒ x + 3 = A(2x-2) + B


Now, equating the coefficients of x and constant term on both sides, we get,


2A = 1


⇒ A =


-2A + B = 3


⇒ B = 4


⇒ x + 3 =


Now,


⇒


Now, Let us consider


Let x2 – 2x – 5 = t


⇒ (2x -2)dx = dt



And, now let us consider,


⇒


⇒


…(2)


Using eq. (1) and (2), we get,


⇒


⇒


22

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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