1
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The value of $$\int_a^b {{{{x^7} + \sin x} \over {\cos x}}} dx$$, where a + b = 0, is
A
$$2b - a\sin (b - a)$$
B
$$a + 3b\cos (b - a)$$
C
$$\sin a - (b - a)\cos b$$
D
0
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If 0 < a < b, then $$\int_a^b {{{|x|} \over x}} dx$$ is equal to
A
$$|b|\, - \,|a|$$
B
$$|a|\, - \,|b|$$
C
$${{|b|} \over {|a|}}$$
D
0
3
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
4
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
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