Mathematics Part-II

Book: Mathematics Part-II

Chapter: 7. Integrals

Subject: Maths - Class 12th

Q. No. 16 of Exercise 7.4

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16

Integrate the functions.

Let 4x + 1 =

⇒ 4x + 1 = A(4x + 1) + B


⇒ 4x + 1 = 4Ax+ A+ B


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


4A = 4


⇒ A = 1


A + B = 1


⇒ B = 0


Let 2x2 + x – 3 =t


⇒ (4x + 1) dx = dt


⇒


⇒


2


16

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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