Application of Integrals

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Question

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Question 1 : The area of the region bounded by the y-axis, y = cos x and y = sin x, 0 ≤ x ≤ π/2 is
1. √2 sq.units
2. (√2 – 1) sq. units
3. (√2 + 1) sq. units
4. (2√2 – 1) sq.units
Answer
8565

Question 2 : The area of the region bounded by the curve x² = 4y and the straight line x = 4y – 2 is
1. 9/8 sq. units
2. 7/8 sq. units
3. 5/8 sq. units
4. 3/8 sq. units
Answer
8566

Question 3 : Area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x² + y² = 32 is
1. 16π sq. units
2. 24π sq. units
3. 32π sq. units
4. 4π sq. units
Answer
8567

Question 4 : Area of the region bounded by the curve y = cos x between x = 0 and x = π is
1. 6 sq. units
2. 5 sq. units
3. 2 sq. units
4. 1 sq. units
Answer
8568

Question 5 : The area of the region bounded by parabola y² = x and the straight line 2y = x is
1. 2/3 sq. unit
2. 1/3 sq. unit
4. 4/3 sq. unit
Answer
8569