ExamSIDE
Questions
ExamSIDE.Com
Complex Numbers
Fill in the Blanks
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
True of False
Quadratic Equation and Inequalities
Fill in the Blanks
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
True of False
Permutations and Combinations
Fill in the Blanks
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
True of False
Mathematical Induction and Binomial Theorem
Fill in the Blanks
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
Sequences and Series
Fill in the Blanks
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
Matrices and Determinants
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Vector Algebra and 3D Geometry
Fill in the Blanks
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
True of False
Probability
Fill in the Blanks
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
True of False
Trigonometric Functions & Equations
Fill in the Blanks
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
True of False
Properties of Triangle
Fill in the Blanks
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
Inverse Trigonometric Functions
Fill in the Blanks
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
Straight Lines and Pair of Straight Lines
Fill in the Blanks
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
True of False
Circle
Fill in the Blanks
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
True of False
Conic Sections
Fill in the Blanks
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
Functions
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Limits, Continuity and Differentiability
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Differentiation
Fill in the Blanks
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
True of False
Application of Derivatives
Fill in the Blanks
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
True of False
Indefinite Integrals
Fill in the Blanks
MCQ (Single Correct Answer)
Subjective
Definite Integrals and Applications of Integrals
Fill in the Blanks
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
True of False
Differential Equations
Numerical
MCQ (Single Correct Answer)
MCQ (Multiple Correct Answer)
Subjective
Joint Entrance Examination
JEE Main
Chemistry
Physics
Mathematics
JEE Advanced
Physics
Chemistry
Mathematics
WB JEE
Physics
Chemistry
Mathematics
Graduate Aptitude Test in Engineering
GATE CSE
Discrete Mathematics
Programming Languages
Theory of Computation
Operating Systems
Digital Logic
Computer Organization
Database Management System
Data Structures
Computer Networks
Algorithms
Compiler Design
Software Engineering
Web Technologies
General Aptitude
GATE ECE
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics
GATE EE
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits
Electrical and Electronics Measurement
GATE ME
Engineering Mechanics
Strength of Materials
Theory of Machines
Engineering Mathematics
Machine Design
Fluid Mechanics
Turbo Machinery
Heat Transfer
Thermodynamics
Production Engineering
Industrial Engineering
General Aptitude
GATE CE
Engineering Mechanics
Strength of Materials Or Solid Mechanics
Structural Analysis
Construction Material and Management
Reinforced Cement Concrete
Steel Structures
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Hydrology
Irrigation
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
Engineering Mathematics
General Aptitude
GATE PI
Fluid Mechanics
Metrology
Theory of Machines
Engineering Mathematics
Heat Transfer
Machine Tools and Machining
Industrial Engineering
Engineering Mechanics
Strength of Materials
Thermodynamics
Machine Design
Casting
Joining of Materials
Metal Forming
GATE IN
Engineering Mathematics
Medical
NEET
Biology
Chemistry
Physics
NEW
New Website Launch
Experience the best way to solve previous year questions with
mock tests
(very detailed analysis),
bookmark your favourite questions
,
practice
etc...
VISIT NOW
Previous
Next
1
IIT-JEE 1988
Subjective
Evaluate $$\int\limits_0^1 {\log \left[ {\sqrt {1 - x} + \sqrt {1 + x} } \right]dx} $$
CHECK ANSWER
Answer
$${1 \over 2}\left[ {\log 2 + {\pi \over 2} - 1} \right]$$
2
IIT-JEE 1988
Subjective
Find the area of the region bounded by the curve $$C:y=$$
$$\tan x,$$ tangent drawn to $$C$$ at $$x = {\pi \over 4}$$ and the $$x$$-axis.
CHECK ANSWER
Answer
$${1 \over 2}\left[ {\log 2 - {1 \over 2}} \right]$$ sq. units
3
IIT-JEE 1987
Subjective
Find the area bounded by the curves, $${x^2} + {y^2} = 25,\,4y = \left| {4 - {x^2}} \right|$$ and $$x=0$$ above the $$x$$-axis.
CHECK ANSWER
Answer
$$4 + 25{\sin ^{ - 1}}{4 \over 5}$$
4
IIT-JEE 1986
Subjective
Evaluate : $$\int\limits_0^\pi {{{x\,dx} \over {1 + \cos \,\alpha \,\sin x}},0 < \alpha < \pi } $$
CHECK ANSWER
Answer
$${{\pi \alpha } \over {\sin x}}$$
Previous
Next
Questions Asked from Definite Integrals and Applications of Integrals
On those following papers in Subjective
Number in Brackets after Paper Indicates No. of Questions
IIT-JEE 2007 (1)
IIT-JEE 2006 (2)
IIT-JEE 2005 (4)
IIT-JEE 2004 (2)
IIT-JEE 2003 (1)
IIT-JEE 2002 (1)
IIT-JEE 2001 (1)
IIT-JEE 2000 (1)
IIT-JEE 1999 (2)
IIT-JEE 1998 (1)
IIT-JEE 1997 (2)
IIT-JEE 1996 (1)
IIT-JEE 1995 (3)
IIT-JEE 1994 (2)
IIT-JEE 1993 (1)
IIT-JEE 1992 (2)
IIT-JEE 1991 (3)
IIT-JEE 1990 (3)
IIT-JEE 1989 (1)
IIT-JEE 1988 (2)
IIT-JEE 1987 (1)
IIT-JEE 1986 (1)
IIT-JEE 1985 (2)
IIT-JEE 1984 (3)
IIT-JEE 1983 (2)
IIT-JEE 1982 (3)
IIT-JEE 1981 (2)
Chapters Map
Algebra
Complex Numbers
Quadratic Equation and Inequalities
Permutations and Combinations
Mathematical Induction and Binomial Theorem
Sequences and Series
Matrices and Determinants
Vector Algebra and 3D Geometry
Probability
Trigonometry
Trigonometric Functions & Equations
Properties of Triangle
Inverse Trigonometric Functions
Coordinate Geometry
Straight Lines and Pair of Straight Lines
Circle
Conic Sections
Calculus
Functions
Limits, Continuity and Differentiability
Differentiation
Application of Derivatives
Indefinite Integrals
Definite Integrals and Applications of Integrals
Differential Equations
Joint Entrance Examination
JEE Main
JEE Advanced
WB JEE
Graduate Aptitude Test in Engineering
GATE CSE
GATE ECE
GATE EE
GATE ME
GATE CE
GATE PI
GATE IN
Medical
NEET
CBSE
Class 12