# NCERT Class 12-Mathematics: Exemplar Chapter –7 Integrals Part 2

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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