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 cosx 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)