1
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information carefully and answer the questions given below.

Consider the integrals

$$A = \int_0^\pi {{{\sin xdx} \over {\sin x + \cos x}}} $$ and

$$B = \int_0^\pi {{{\sin xdx} \over {\sin x - \cos x}}} $$
Which one of the following is correct?
A
A = 2B
B
B = 2A
C
A = B
D
A = 3B
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information carefully and answer the questions given below.

Consider the integrals

$$A = \int_0^\pi {{{\sin xdx} \over {\sin x + \cos x}}} $$ and

$$B = \int_0^\pi {{{\sin xdx} \over {\sin x - \cos x}}} $$
What is the value of B?
A
$${\pi \over 4}$$
B
$${\pi \over 2}$$
C
$${3\pi \over 4}$$
D
$$\pi$$
3
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information carefully and answer the questions given below.

Consider the integral

$${I_m} = \int_0^\pi {{{\sin 2mx} \over {\sin x}}dx} $$, where m is a positive integer.
What is I1 equal to ?
A
0
B
$${1 \over 2}$$
C
1
D
2
4
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information carefully and answer the questions given below.

Consider the integral

$${I_m} = \int_0^\pi {{{\sin 2mx} \over {\sin x}}dx} $$, where m is a positive integer.
What I2 + I3 equal to ?
A
4
B
2
C
1
D
0
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