# NCERT Class 12-Math՚s: Chapter – 8 Application of Integrals Part 5 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 10**:

Using integration, find the area of the region bounded by the line , axis and the lines and .

**Answer**:

**Question 11**:

Draw a rough sketch of the curve in the interval . Find the area under the curve and between the lines and .

**Answer**:

**Question 12**:

Determine the area under the curve included between the lines and .

**Answer**:

**Question 13**:

Find the area of the region bounded by and .

**Answer**:

**Question 14**:

Find the area enclosed by the curve and the straight line .

**Answer**:

**Question 15**:

Find the area bounded by the curve in the first quadrant and axis.

**Answer**:

### Long Answer (L. A)

**Question 16**:

Find the area of the region bounded by the curve and .

**Answer**:

**Question 17**:

Find the area bounded by the curve between and .

**Answer**:

**Question 18**:

Find the area of region bounded by the triangle whose vertices are and , using integration.

**Answer**:

**Question 19**:

Draw a rough sketch of the region . Also find the area of the region sketched using method of integration.

**Answer**:

**Question 20**:

Compute the area bounded by the lines and .

**Answer**:

**Question 21**:

Find the area bounded by the lines and .

**Answer**:

**Question 22**:

Find the area bounded by the curve cos*x* and the *x*-axis from to .

**Answer**:

**Question 23**:

Draw a rough sketch of the given curve and find the area of the region bounded by them, using integration.

**Answer**:

## Objective Type Questions

### Choose the Correct Answer from the Given Four Options in Each of the Exercises 24 to 34

**Question 24**:

The area of the region bounded by the is

(A)

(B)

(C)

(D)

**Answer: (C)**