# 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

### Short Answer (S. A)

**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