# 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 .

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Question 13:

Find the area of the region bounded by and .

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Question 14:

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

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Question 15:

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

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### 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.

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Question 19:

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

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Question 20:

Compute the area bounded by the lines and .

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Question 21:

Find the area bounded by the lines and .

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Question 22:

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

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Question 23:

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

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## 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)