1
GATE CE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Let $$x$$ be a continuous variable defined over the interval $$\left( { - \infty ,\infty } \right)$$, and $$f\left( x \right) = {e^{ - x - {e^{ - x}}}}.$$
The integral $$g\left( x \right) = \int {f\left( x \right)dx\,\,} $$ is equal to
The integral $$g\left( x \right) = \int {f\left( x \right)dx\,\,} $$ is equal to
2
GATE CE 2017 Set 1
Numerical
+1
-0
$$\mathop {Lim}\limits_{x \to 0} \left( {{{\tan x} \over {{x^2} - x}}} \right)$$ is equal to _________.
Your input ____
3
GATE CE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
$$\mathop {\lim }\limits_{x \to \infty } {\left( {1 + {1 \over x}} \right)^{2x}}\,\,$$ is equal to
4
GATE CE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Given $$i = \sqrt { - 1} ,$$ the value of the definite integral, $$\,{\rm I} = \int\limits_0^{\pi /2} {{{\cos x + \sin x} \over {\cos x - i\,\sin x}}dx\,\,} $$ is :
Questions Asked from Calculus (Marks 1)
Number in Brackets after Paper Indicates No. of Questions
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
Engineering Mechanics
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