NCERT Class 12-Mathematics: Exemplar Chapter – 7 Integrals Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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7.2 Solved Examples

Question 1:

Integrate

Answer:

Question 2:

Evaluate

Answer:

Let

Therefore,

Question 3:

Verify the following using the concept of integration as an antiderivative.

Answer:

Thus

Question 4:

Answer:

Where

Put

Hence .

Question 5:

Evaluate

Answer:

Put

Now

Question 6:

Answer:

Question 7:

Find

Answer:

Put Then

Now

Consider

Comparing coefficient, we get .

Then