ExamSIDE (Powered by ExamGOAL)
Questions
1
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

The value of $$\int {{1 \over {{{[{{(x - 1)}^3}{{(x + 2)}^5}]}^{{1 \over 4}}}}}dx} $$, is

A
$${4 \over 3}{\left( {{{x + 1} \over {x - 2}}} \right)^{{1 \over 4}}} + C$$
B
$${3 \over 4}{\left( {{{x - 1} \over {x + 2}}} \right)^{{1 \over 4}}} + C$$
C
$${4 \over 3}{\left( {{{x - 1} \over {x + 2}}} \right)^{{1 \over 4}}} + C$$
D
$${1 \over 3}{\left( {{{2x - 1} \over {4x - 3}}} \right)^{{1 \over 4}}} + C$$
2
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

Let $$f(x) = \int {{{{x^2}dx} \over {(1 + {x^2})(1 + \sqrt {1 + {x^2}} )}}} $$ and $$f(0) = 0$$, then the value of $$f(1)$$ be

A
$$\log (1 + \sqrt 2 )$$
B
$$\log (1 + \sqrt 2 ) - {\pi \over 4}$$
C
$$\log (1 + \sqrt 2 ) + {\pi \over 2}$$
D
None of these
3
BITSAT 2021
MCQ (Single Correct Answer)
+3
-1

$$\int {{1 \over {1 - 2\sin x}}dx} $$ is equal to

A
$${1 \over {2\sqrt 3 }}\log \left| {{{\tan {x \over 2} - 2 - \sqrt 3 } \over {\tan {x \over 2} - 2 + \sqrt 3 }}} \right| + c$$
B
$${{\sqrt 3 } \over 2}\log \left| {{{\tan {x \over 2} - 2 - \sqrt 3 } \over {\tan {x \over 2} - 2 + \sqrt 3 }}} \right| + c$$
C
$${1 \over {\sqrt 3 }}\log \left| {{{\tan {x \over 2} - 2 - \sqrt 3 } \over {\tan {x \over 2} - 2 + \sqrt 3 }}} \right| + c$$
D
None of the above
4
BITSAT 2020
MCQ (Single Correct Answer)
+3
-1
$$\int {{{8{x^{43}} + 13{x^{38}}} \over {{{({x^{13}} + {x^5} + 1)}^4}}}dx} $$ equals to
A
$${{{x^{39}}} \over {3{{({x^{13}} + {x^5} + 1)}^3}}} + C$$
B
$${{{x^{39}}} \over {{{({x^{13}} + {x^5} + 1)}^3}}} + C$$
C
$${{{x^{39}}} \over {5{{({x^{13}} + {x^5} + 1)}^3}}} + C$$
D
None of these
BITSAT Subjects
Physics
Mechanics
Units & Measurement and Dimensions Motion Laws of Motion Circular Motion Work, Energy and Power Center of Mass and Collision Rotational Motion Gravitation Simple Harmonic Motion Fluid Mechanics Elasticity Waves Heat and Thermodynamics
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
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
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
General Organic Chemistry Isomerism Hydrocarbons Haloalkanes and Haloarenes Alcohol, Phenols and Ethers Aldehyde and Ketone Compounds Containing Nitrogen Polymers Biomolecules Chemistry in Everyday Life Practical Organic Chemistry
Mathematics
Algebra
Logarithms Quadratic Equations Sequences and Series Permutations and Combinations Probability Sets and Relations Binomial Theorem Vector Algebra Three Dimensional Geometry Matrices and Determinants Statistics Mathematical Reasoning Linear Programming Complex Numbers
Trigonometry
Trigonometric Ratios & Identities Trigonometric Equations Inverse Trigonometric Functions Properties of Triangles
Calculus
Functions Limits, Continuity and Differentiability Differentiation Application of Derivatives Indefinite Integration Definite Integration Area Under The Curves Differential Equations
Coordinate Geometry
Straight Lines and Pair of Straight Lines Circle Parabola Ellipse Hyperbola
English Proficiency
Comprehension Ability Rearrangement Fill in the Blanks Grammar Vocabulary
Logical Reasoning
Verbal
Direction Sense Test Analogy Classification Series Completion Blood Relations Logical Deduction Logic Chart
Non Verbal
Completion of Figure Figure Formation Paper Folding and Cutting Figure Matrix Rule Detection Mirror Image
EXAM MAP
Joint Entrance Examination
JEE MainJEE AdvancedWB JEEBITSATMHT CETKCETCOMEDKVITEEE
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12