Mathematics Part-II

Book: Mathematics Part-II

Chapter: 7. Integrals

Subject: Maths - Class 12th

Q. No. 6 of Exercise 7.8

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6

Evaluate the following definite integrals as limit of sums.

Given:

Here,



Here,




We know that





Now,



Let u=2x


so that


du = 2 dx,


⇒ � × du = dx.


Now substituting this into F(x), we get




We know that





Here,




∴


7

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

1

Evaluate the following definite integrals as limit of sums.
2

Evaluate the following definite integrals as limit of sums.
3

Evaluate the following definite integrals as limit of sums.
4

Evaluate the following definite integrals as limit of sums.
5

Evaluate the following definite integrals as limit of sums.
6

Evaluate the following definite integrals as limit of sums.