1
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$$\pi$$
2
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
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
$$\int_0^{{\pi \over 2}} {\left| {\sin x - \cos x} \right|} \,dx$$ is equal to
A
0
B
$$2(\sqrt 2 - 1)$$
C
$$2\sqrt 2 $$
D
$$2(\sqrt 2 + 1)$$
4
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
$$\int_0^{{\pi \over 2}} {{e^{\sin x}}} \cos x\,xdx$$ is equal to
A
e + 1
B
e $$-$$ 1
C
e + 2
D
e
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