Applications of Integrals Test

Result

Applications of Integrals Test - 9

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Weekly Quiz Competition

Question 1
4 / -1

The area of the region bounded by curves y = x log x and y = 2x - 2x² is

A
1/2 sq units

B
3/12 sq units

C
7/12 sq units

D
None of these
Question 2
4 / -1

If f(x) is continuous function such that the area bounded by the curve y = f(x), the X - axis and the lines x = a and x = 0 is

A
1/2

B
a/2

C
a²/2

D
π/2
Question 3
4 / -1

The line x = π/4 divides the area of the region bounded by y = sin x, y = cos x and X - axis (0 ≤ x ≤ π/2) into two regions of areas A₁ and A₂. Then, A₁ : A₂ equals to

A
4 : 1

B
3 : 1

C
2 : 1

D
1 : 1
Question 4
4 / -1

The area bounded by the curve y = x|x|, X - axis and the ordinates x = 1, x = -1 is given by

A
0

B
1/3

C
2/3

D
None of these
Question 5
4 / -1

A

B

C

D
Question 6
4 / -1

The area of the plane region bounded by the curves x + 2y² = 0 and x + 3y² = 1 is equal to

A
4/3 sq units

B
5/3 sq units

C
1/3 sq units

D
2/3 sq units
Question 7
4 / -1

The area ( in sq units ) of the region bounded by the curves 2x = y² - 1 and x = 0 is

A
1/3 sq units

B
2/3 sq units

C
1 sq units

D
2 sq units
Question 8
4 / -1

The area enclosed between the curves y = x³ and y = √x is

A
5/3 sq units

B
5/4 sq units

C
5/12 sq units

D
12/5 sq units
Question 9
4 / -1

The area bounded by the curve y = 1/2 x², the X-axis and the ordinate x = 2 is

A
1/3 sq units

B
2/3 sq units

C
1 sq units

D
4/3 sq units
Question 10
4 / -1

The area of the region bounded by y = 2x - x² and the X - axis is

A
8/3 sq units

B
4/3 sq units

C
7/3 sq units

D
2/3 sq units