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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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NDA Subjects
Mathematics
Algebra
Sets, Relations and FunctionsLogarithmsQuadratic Equations and InequalitiesSequence And SeriesBinomial TheoremMatricesDeterminantsPermutations and CombinationsProbabilityComplex NumbersVector AlgebraThree Dimensional GeometryStatistics
Trigonometry
Trigonometric Angles and EquationsInverse Trigonometric FunctionHeight and DistanceProperties of Triangles
Coordinate Geometry
Coordinate System and Straight LineCircleParabolaEllipseHyperbolaConic Section
Calculus
FunctionsLimit, Continuity and DifferentiabilityDifferentiationApplication of DerivativesIndefinite IntegrationDefinite IntegrationArea Under The CurvesDifferential Equations
English
Reading Comprehension Synonyms Antonyms Cloze Rearranging Sentences in a Paragraph Idioms and Phrases Word Classes Sentence Completion Improvement of Sentence
General Science
Physics Chemistry Biology
General Studies
Polity Geography History Economy General Knowledge
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