ExamSIDE (Powered by ExamGOAL)
Questions
PREVIOUS NEXT
1
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If $\rm \int \sqrt{1 - sin 2x} \space dx$ = A sinx + B cosx + C, where 0 < x < $\frac{\pi}{4}$, then which one of the following is correct?
A
A + B = 0
B
A + B - 2 = 0
C
A + B + 2 = 0
D
A + B - 1 = 0
2
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\rm \int \frac{dx}{x(x^2 + 1)}$ equal to?
A
$\rm \frac{1}{2}ln\left(\frac{x^2}{x^2 + 1}\right) + C$
B
$\rm ln\left(\frac{x^2}{x^2 + 1}\right) + C$
C
$\rm \frac{3}{2}ln\left(\frac{x^2}{x^2 + 1}\right) + C$
D
$\rm \frac{1}{2}ln\left(\frac{x^2+1}{x^2}\right) + C$
3
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\rm \int e^{\left(2\ln x+\ln x^2\right)}dx$ equal to?
A
$\rm \frac{x^4}{4}+c$
B
$\rm \frac{x^3}{3}+c$
C
$\rm \frac{2x^5}{5}+c$
D
$\rm \frac{x^5}{5}+c$
4
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is $\rm \int \frac{dx}{\sec x+\tan x}$ equal to?

A
ln (sec x) + ln |sec x + tan x| + c
B
ln (sec x) - ln |sec x + tan x| + c
C
sec x tan x - ln |sec x - tan x| + c
D
ln |sec x + tan x| - ln |sec x| + c
PREVIOUS NEXT
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
General Science
Physics Chemistry Biology
General Studies
History Geography Polity Economy General Knowledge
EXAM MAP
Joint Entrance Examination
JEE MainJEE AdvancedWB JEEBITSATMHT CETKCETCOMEDKVITEEEAP EAPCETTS EAMCETIAT (IISER)
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12