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1
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int {{{\sin }^3}x\cos x\,dx} $$ equal to ?
A
$${\cos ^4}x + C$$
B
$${\sin ^4}x + C$$
C
$${{{{(1 - {{\sin }^2}x)}^2}} \over 4} + C$$
D
$${{{{(1 - {{\cos }^2}x)}^2}} \over 4} + C$$
2
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\int {{{dx} \over {{a^2}{{\sin }^2}x + {b^2}{{\cos }^2}x}}} $$ equal to ?
A
$${1 \over {ab}}{\tan ^{ - 1}}\left( {{{a\tan x} \over b}} \right) + C$$
B
$${1 \over {ab}}{\tan ^{ - 1}}\left( {{{a\tan x} \over b}} \right) + C$$
C
$${1 \over {ab}}{\tan ^{ - 1}}\left( {{{b\tan x} \over b}} \right) + C$$
D
None of the above
3
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
$${{\ln (1 + {2^{ - x}})} \over {1 - {2^{ - x}}}} + C$$
4
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
$${\tan ^{ - 1}}(2x - 1) + c$$
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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
Trigonometry
Trigonometric Angles and Equations Inverse Trigonometric Function Height and Distance Properties of Triangles
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
Reading Comprehension Synonyms Antonyms Cloze Rearranging Sentences in a Paragraph Idioms and Phrases Word Classes Sentence Completion Improvement of Sentence
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