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

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