ExamSIDE (Powered by ExamGOAL)
Questions
PREVIOUS NEXT
1
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int \frac{x}{x^4-16} d x= $$

A
$$ \frac{1}{16} \log \left|\frac{x^2+4}{x^2-4}\right|+C $$
B
$$ \frac{1}{4} \log \left|\frac{x^2+4}{x^2-4}\right|+C $$
C
$$ \frac{1}{16} \log \left|\frac{x^2-4}{x^2+4}\right|+C $$
D
$$ \frac{1}{8} \log \left|\frac{x^2-4}{x^2+4}\right|+C $$
2
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { The value of } \int \frac{1}{x+\sqrt{x-1}} d x \text { is } $$

A
$$ \log (x+\sqrt{x-1})+\sin ^{-1}\left(\sqrt{\frac{x-1}{x}}\right)+C $$
B
$$ \log (x+\sqrt{x-1})-\frac{2}{\sqrt{3}} \tan ^{-1}\left(\frac{2 \sqrt{x-1}+1}{\sqrt{3}}\right)+C $$
C
$$ \log (x+\sqrt{x-1})+C $$
D
$$ \log (x-1+\sqrt{x-1})+\frac{1}{\sqrt{3}} \log \left|\frac{x-2-\sqrt{3}}{x-2+\sqrt{3}}\right|+C $$
3
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$\int \frac{x d x}{2(1+x)^{3 / 2}}$$ is equal to

A
$$\frac{2+x}{\sqrt{1+x}}+C$$
B
$$\frac{2+x}{x \sqrt{1+x}}+C$$
C
$$\frac{x}{\sqrt{1+x}}+C$$
D
$$-\frac{x}{\sqrt{1+x}}+C$$
4
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$\int \frac{4^x}{\sqrt{1-16^x}} d x$$ is equal to

A
$$(\log 4) \sin ^{-1} 4^x+C$$
B
$$\frac{1}{4} \sin ^{-1}\left(4^x\right)+C$$
C
$$\frac{1}{\log 4} \sin ^{-1} 4^x+C$$
D
$$4 \log 4 \sin ^{-1} 4+C$$
PREVIOUS NEXT
COMEDK Subjects
Physics
Mechanics
Units & Measurements Vector Algebra Motion Laws of Motion Circular Motion Work, Energy and Power Center of Mass and Collision Rotational Motion Elasticity Fluid Mechanics Heat and Thermodynamics Gravitation Simple Harmonic Motion Waves
Optics
Ray Optics Wave Optics
Electromagnetism
Electrostatics Current Electricity Capacitor Moving Charges and Magnetism Magnetism and Matter Electromagnetic Induction Alternating Current Electromagnetic Waves
Modern Physics
Atoms and Nuclei Dual Nature of Radiation Semiconductor Devices and Logic Gates Communication Systems
Chemistry
Physical Chemistry
Some Basic Concepts of Chemistry Atomic Structure States of Matter Thermodynamics Chemical Equilibrium Ionic Equilibrium Liquid Solution Redox Reactions Surface Chemistry Solid State Electrochemistry Chemical Kinetics Nuclear Chemistry
Inorganic Chemistry
Periodic Table and Periodicity Chemical Bonding and Molecular Structure Hydrogen and It's Compounds s-Block Elements p-Block Elements d and f Block Elements Metallurgy Coordination Compounds Environmental Chemistry
Organic Chemistry
IUPAC Nomenclatures General Organic Chemistry Isomerism Hydrocarbons Haloalkanes and Haloarenes Alcohol, Phenols and Ethers Aldehyde and Ketone Carboxylic Acids and Its Derivatives Compounds Containing Nitrogen Polymers Biomolecules Chemistry in Everyday Life Practical Organic Chemistry
Mathematics
Algebra
Sets and Relations Logarithms Complex Numbers Quadratic Equations Sequences and Series Permutations and Combinations Probability Binomial Theorem Vector Algebra Three Dimensional Geometry Matrices and Determinants Statistics Mathematical Reasoning Linear Programming
Trigonometry
Trigonometric Ratios & Identities Trigonometric Equations Inverse Trigonometric Functions Properties of Triangles
Coordinate Geometry
Straight Lines and Pair of Straight Lines Circle Parabola Ellipse Hyperbola
Calculus
Functions Limits, Continuity and Differentiability Differentiation Application of Derivatives Indefinite Integration Definite Integration Area Under The Curves Differential Equations
EXAM MAP
Joint Entrance Examination
JEE MainJEE AdvancedMHT CETBITSATCOMEDKWB JEEKCETVITEEEAP 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