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1
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
$${\tan ^{ - 1}}(2x - 1) + c$$
2
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
$$ - {1 \over {(n - 1){{(1 + \ln x)}^{n - 1}}}} + c$$
3
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
$${{2\ln (x)} \over x} - 2x + C$$
4
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int {{e^{x\ln (a)}}} dx$$ equal to ?
A
$${{{a^x}} \over {\ln (a)}} + C$$
B
$${{{e^x}} \over {\ln (a)}} + C$$
C
$${{{e^x}} \over {\ln (ae)}} + C$$
D
$${{a{e^x}} \over {\ln (a)}} + C$$
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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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Coordinate Geometry
Coordinate System and Straight Line Circle Parabola Ellipse Hyperbola Conic Section
Calculus
Functions Limit, Continuity and Differentiability Differentiation Application of Derivatives Indefinite Integration Definite Integration Area Under The Curves Differential Equations
English
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