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1
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int {{{dx} \over {{2^x} - 1}}} $$ equal to ?
A
$$\ln ({2^x} - 1) + C$$
B
$${{\ln (1 - {2^x})} \over {\ln 2}} + C$$
C
$${{\ln ({2^{ - x}} - 1)} \over {2\ln 2}} + C$$
D
$${{\ln (1 + {2^{ - x}})} \over {1 - {2^{ - x}}}} + C$$
2
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int {{{dx} \over {2{x^2} - 2x + 1}}} $$ equal to ?
A
$${{{{\tan }^{ - 1}}(2x - 1)} \over 2} + c$$
B
$$2{\tan ^{ - 1}}(2x - 1) + c$$
C
$${{{{\tan }^{ - 1}}(2x + 1)} \over 2} + c$$
D
$${\tan ^{ - 1}}(2x - 1) + c$$
3
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int {{{dx} \over {x{{(1 + \ln x)}^n}}}} $$ equal to (n $$\ne$$ 1) ?
A
$${1 \over {(n - 1){{(1 + \ln x)}^{n - 1}}}} + c$$
B
$${{1 - n} \over {{{(1 + \ln x)}^{1 - n}}}} + c$$
C
$${{n + 1} \over {{{(1 + \ln x)}^{n + 1}}}} + c$$
D
$$ - {1 \over {(n - 1){{(1 + \ln x)}^{n - 1}}}} + c$$
4
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int {\ln ({x^2})dx} $$ equal to?
A
$$2x\ln (x) - 2x + C$$
B
$${2 \over x} + C$$
C
$$2x\ln (x) + C$$
D
$${{2\ln (x)} \over x} - 2x + C$$
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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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