1
GATE CE 2002
MCQ (Single Correct Answer)
+1
-0.3
The value of the following definite integral in $$\int\limits_{{\raise0.5ex\hbox{$\scriptstyle { - \pi }$}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 2$}}}^{{\raise0.5ex\hbox{$\scriptstyle \pi $}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 2$}}} {{{Sin2x} \over {1 + \cos x}}dx = \_\_\_\_\_\_\_\_.} $$
2
GATE CE 2001
MCQ (Single Correct Answer)
+1
-0.3
Limit of the following series as $$x$$ approaches $${\pi \over 2}$$ is
$$f\left( x \right) = x - {{{x^3}} \over {3!}} + {{{x^5}} \over {5!}} - {{{x^7}} \over {7!}} + - - - - - $$
$$f\left( x \right) = x - {{{x^3}} \over {3!}} + {{{x^5}} \over {5!}} - {{{x^7}} \over {7!}} + - - - - - $$
3
GATE CE 2000
MCQ (Single Correct Answer)
+1
-0.3
Consider the following integral $$\mathop {Lim}\limits_{x \to 0} \int\limits_1^a {{x^{ - 4}}} dx$$ ________.
4
GATE CE 1999
MCQ (Single Correct Answer)
+1
-0.3
The function $$f\left( x \right) = {e^x}$$ is _________.
Questions Asked from Calculus (Marks 1)
Number in Brackets after Paper Indicates No. of Questions
GATE CE 2024 Set 2 (1)
GATE CE 2024 Set 1 (1)
GATE CE 2023 Set 1 (2)
GATE CE 2017 Set 2 (1)
GATE CE 2017 Set 1 (2)
GATE CE 2015 Set 2 (2)
GATE CE 2014 Set 1 (2)
GATE CE 2013 (1)
GATE CE 2012 (1)
GATE CE 2011 (1)
GATE CE 2010 (1)
GATE CE 2004 (1)
GATE CE 2002 (2)
GATE CE 2001 (1)
GATE CE 2000 (1)
GATE CE 1999 (3)
GATE CE 1998 (3)
GATE CE 1997 (2)
GATE CE 1995 (2)
GATE CE 1994 (1)
GATE CE Subjects
Construction Material and Management
Geomatics Engineering Or Surveying
Levelling Traversing Theodolites and Plane Table Surveying Measurement of Area, Volume and Theory of Errors and Survey Adjustment Field Astronomy and Photogrammetric Surveying Basics of GIS, GPS and Remote Sensing Angular Measurements and Compass Survey Basic Concepts Linear Measurements and Chain Survey
Engineering Mechanics
Hydrology
Transportation Engineering
Strength of Materials Or Solid Mechanics
Reinforced Cement Concrete
Steel Structures
Environmental Engineering
Engineering Mathematics
Structural Analysis
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude