1
GATE ME 2008
MCQ (Single Correct Answer)
+2
-0.6
Which of the following integrals is unbounded?
A
$$\int\limits_0^{\pi /4} {\tan xdx} $$
B
$$\int\limits_0^\alpha {{1 \over {1 + {x^2}}}dx} $$
C
$$\int\limits_0^\alpha {x.{e^{ - x}}dx\,\,} $$
D
$$\int\limits_0^1 {{1 \over {1 - x}}dx\,\,} $$
2
GATE ME 2008
MCQ (Single Correct Answer)
+1
-0.3
The value of $$\,\,\mathop {Lim}\limits_{x \to 8} {{{x^{1/3}} - 2} \over {x - 8}}\,\,$$ is
A
$${1 \over {16}}$$
B
$${1 \over {12}}$$
C
$${1 \over {8}}$$
D
$${1 \over {4}}$$
3
GATE ME 2008
MCQ (Single Correct Answer)
+1
-0.3
In the Taylor series expansion of $${e^x}$$ about $$x=2,$$ the coefficient of $$\,\,{\left( {x - 2} \right)^4}\,\,$$ is
A
$${1 \over {4!}}$$
B
$${{{2^4}} \over {4!}}$$
C
$${{{e^2}} \over {4!}}$$
D
$${{{e^4}} \over {4!}}$$
4
GATE ME 2008
MCQ (Single Correct Answer)
+2
-0.6
Consider the shaded triangular region $$P$$ shown in the figure. What is $$\int\!\!\!\int\limits_p {xy\,dx\,dy\,?} $$ GATE ME 2008 Engineering Mathematics - Calculus Question 44 English
A
$${1 \over 6}$$
B
$${2 \over 9}$$
C
$${7 \over {16}}$$
D
$$1$$
EXAM MAP
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