# NCERT Class 12-Math's: Chapter –8 Application of Integrals Part 5

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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)**