Mathematics Part-II

Book: Mathematics Part-II

Chapter: 7. Integrals

Subject: Maths - Class 12th

Q. No. 30 of Miscellaneous Exercise

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30

Evaluate the definite integral:

Let


Also, let sinx – cosx = t


Differentiating both sides, we get,


(cosx + sinx) dx = dt


When x = 0, t = -1


And when , t = 0


Now,


(sinx – cosx)2 = t2


1 – 2 sinx.cosx = t2


Sin2x = 1 – t2


Putting all the values, we get the integral,








30

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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