Mathematics Part-II

Book: Mathematics Part-II

Chapter: 7. Integrals

Subject: Maths - Class 12th

Q. No. 23 of Exercise 7.4

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23

Integrate the functions.

Let 5x + 3 =

⇒ 5x + 3 = A(2x + 4) + B


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


2A = 5


⇒ A =


4A + B = 3


⇒ B = -7


⇒ 5x + 3 =


Now,


⇒


Now, let us consider,


Let x2 +4x + 10= t


⇒ (2x + 4) dx= dt


… (1)


And, Now let us consider,


⇒


⇒


…(2)


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


⇒


⇒


23

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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