1
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\int\limits_a^b {{x^3}} dx = 0$$ and $$\int\limits_a^b {{x^2}} dx = {2 \over 3}$$, then what are the values of a and b respectively ?
A
$$-$$1, 1
B
1, 1
C
0, 0
D
2, $$-$$2
2
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int\limits_0^1 {x{{(1 - x)}^9}} dx$$ equal to ?
A
$${1 \over {110}}$$
B
$${1 \over {132}}$$
C
$${1 \over {148}}$$
D
$${1 \over {240}}$$
3
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information and answer the questions given below.

Consider the integrals

$${I_1} = \int_0^\pi {{{xdx} \over {1 + \sin x}}} $$ and

$${I_2} = \int_0^\pi {{{(\pi - x)dx} \over {1 - \sin (\pi + x)}}} $$
What is the value of I1 ?
A
0
B
$${\pi \over 2}$$
C
$$\pi$$
D
2$$\pi$$
4
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information and answer the questions given below.

Consider the integrals

$${I_1} = \int_0^\pi {{{xdx} \over {1 + \sin x}}} $$ and

$${I_2} = \int_0^\pi {{{(\pi - x)dx} \over {1 - \sin (\pi + x)}}} $$
What is the value of I1 + I2 ?
A
2$$\pi$$
B
$$\pi$$
C
$${\pi \over 2}$$
D
0
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