Definite Integrals Test

Result

Definite Integrals Test - 4

Score
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Rank
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Weekly Quiz Competition

Question 1
4 / -1

The ratio of the areas bounded by the curves y = cos x and y = cos 2x between x = 0, x = π/3 and x-axis is

A
√2 : 1

B
1 : 1

C
1 : 2

D
2 : 1

Solution
Question 2
4 / -1

The area bounded by y = |sin x|, x-axis is and the lines |x| = π is

A
2

B
3

C
4

D
None of these

Solution
Question 3
4 / -1

The area of the region by curves y = x log x and y = 2x – 2x² =

A
1/12

B
3/12

C
7/12

D
None of these

Solution
Question 4
4 / -1

The area inside the parabola y² = 4ax between the lines x = a and x = 4a is equal to

A
4a²

B
8a²

C

D

Solution
Question 5
4 / -1

The area enclosed by the parabolas y = x² – 1 and y = 1 – x² is

A
1/3

B
2/3

C
4/3

D
8/3

Solution
Question 6
4 / -1

The area bounded by the curves y² = 8x and y = x is

A

B

C

D
32 sq.unit

Solution
Question 7
4 / -1

A

B

C

D

Solution
Question 8
4 / -1

A
1

B
-2

C
√2

D
0

Solution
Question 9
4 / -1

A
a - 1 + (a - 1)^-2

B
a + a^-2

C
a - a^-2

D
a² + 1/a²

Solution
Question 10
4 / -1

A
2

B
1

C
1/2

D
0

Solution