NCERT Class 12-Mathematics: Exemplar Chapter –7 Integrals Part 3

Doorsteptutor material for IEO Class-7 is prepared by world's top subject experts: fully solved questions with step-by-step explanation- practice your way to success.

Question 8:

Find

Answer:

Dividing numerator and denominator by , we have

Put so that . Then

Question 9:

Evaluate as a limit of sums.

Answer:

Here

Now, we have

Note that

Therefore,

Question 10:

Evaluate

Answer:

We have

Adding (1) and (2), we get

Question 11:

Find

Answer:

We have

Adding (1) and (2), we get

Hence

Question 12:

Find

Answer:

We have