1
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
$$\int_0^{2\pi } {{{\sin }^5}\left( {{x \over 4}} \right)dx} $$ is equal to
A
$${8 \over {15}}$$
B
$${{16} \over {15}}$$
C
$${{32} \over {15}}$$
D
0
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
$$\int_{ - 1}^1 {x|x|} \,dx$$ is equal to
A
0
B
$${2 \over 3}$$
C
2
D
$$-$$2
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 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
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 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
$$\pi$$
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