CUET Mathematics MCQs Applications of the Integrals

Question. The area of the region bounded by the curve x = 2y + 3 and the lines y = 1 and y = - 1 is
(a) 4 sq units
(b) 3/2 sq units
(c) 6 sq units
(d) 8 sq units
Answer : C

Question. The demand function for a commodity is given by p = 30 + 5x - x². When market price is ₹ 5, then consumer’s surplus (CS) is
(a) 17.5
(b) 42.5
(c) 20.83
(d) 39
Answer : C

Question. The area of the region bounded by the curve y = x + 1 and the lines x = 2 and x = 3, is
(a) 7/2 sq units
(b) 9/2 sq units
(c) 11/2 sq units
(d) 13/2 sq units
Answer : A

Question. Area bounded by the curve y x e = log , x = 0, y ≤ 0 and X-axis is
(a) 1 sq unit
(b) 2 sq units
(c) 3 sq units
(d) 4 sq units
Answer : A

Question. A manufacturer’s marginal revenue function is given byMR = 300 - 3x + 4/3 x² . If the production is increased from 5 to 10 units, then increase in revenue is
(a) ₹ 1935
(b) ₹ 1776.38
(c) ₹ 1940
(d) ₹ 1825
Answer : B

Question. The area bounded by the curve y = x|x|, X-axis and the coordinates x = - 1 and x = 1 is given by
(a) 0
(b) 1/3 sq unit
(c) 2/3/sq unit
(d) 4/3 sq units
Answer : C

Question. The area of the region bounded by x² y = 4 , y = 2, y = 4 and the Y-axis in the first quadrant is
(a) 8/3 ( 4 + √2) sq units
(b) 8/3 ( 4 - √2) sq units
(c) 8( 4 + √2) sq units
(d) None of these
Answer : B

Question. If we draw a rough sketch of the curve y = √x - 1 in the interval [1, 5], then the area under the curve and between the lines x = 1 and x = 5 is
(a) 16/9 sq units
(b) 8/3 sq units
(c) 16/3 sq units
(d) None of these
Answer : C

Question. Area bounded by the curve y = x³, the X-axis and the coordinates x = - 2 and x = 1 is
(a) - 9 sq unit
(b) -15/4 sq unit
(c) 15/4 sq units
(d) 17/4 sq units
Answer : D

Question. Area of the region bounded by the curve y² = 4x , Y-axis and the line y = 3 is
(a) 2 sq units
(b) 9/4 sq units
(c) 9/3 sq units
(d) 9/2 sq units
Answer : B