Mathematics Part-II

Book: Mathematics Part-II

Chapter: 7. Integrals

Subject: Maths - Class 12th

Q. No. 21 of Exercise 7.3

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21

Find the integrals of the functions.

sin-1(cosx)

Let cosx = t


Then, sinx =


=> (-sinx)dx = dt


=> dx =


=> dx =


⇒ Now,


⇒


Let sin-1 t = v


=>


⇒


⇒


⇒


…(1)


We know that,


sin-1x + cos-1 x =


⇒ sin-1(cosx)=


Now, substituting in eq(1), we get,


⇒


⇒


⇒


⇒


⇒


21

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

More Exercise Questions

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23


A. B.


C. D.

24


A. B.


C. D.