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1
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
$$\int {{{dx} \over {1 + {e^{ - x}}}}} $$ is equal to ?

where, C is the constant of integration.
A
1 + ex + C
B
ln (1 + e$$-$$x) + C
C
ln (1 + ex) + C
D
2ln (1 + e$$-$$x) + C
2
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int {{{{x^4} - 1} \over {{x^2}\sqrt {{x^4} + {x^2} + 1} }}dx} $$ equal to ?
A
$$\sqrt {{{{x^4} + {x^2} + 1} \over x}} + C$$
B
$$\sqrt {{x^4} + 2 - {1 \over {{x^2}}}} + C$$
C
$$\sqrt {{x^2} + {1 \over {{x^2}}} + 1} + C$$
D
$$\sqrt {{{{x^4} - {x^2} + 1} \over x}} + C$$
3
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int {{e^{\sin x}}} {{x{{\cos }^3}x - \sin x} \over {{{\cos }^2}x}}dx$$ equal to ?
A
$$(x + \sec x){e^{\sin x}} + C$$
B
$$(x - \sec x){e^{\sin x}} + C$$
C
$$(x + \tan x){e^{\sin x}} + C$$
D
$$(x - \tan x){e^{\sin x}} + C$$
4
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int {{{\tan }^{ - 1}}(\sec x + \tan x)dx} $$ equal to ?
A
$${{\pi x} \over 4} + {{{x^2}} \over 4} + C$$
B
$${{\pi x} \over 2} + {{{x^2}} \over 4} + C$$
C
$${{\pi x} \over 4} + {{\pi {x^2}} \over 4} + C$$
D
$${{\pi x} \over 4} - {{{x^2}} \over 4} + C$$
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NDA Subjects
Mathematics
Algebra
Sets, Relations and Functions Logarithms Quadratic Equations and Inequalities Sequence And Series Binomial Theorem Matrices Determinants Permutations and Combinations Probability Complex Numbers Vector Algebra Three Dimensional Geometry Statistics
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