1
GATE CSE 2009
MCQ (Single Correct Answer)
+2
-0.6
$$\int\limits_0^{\pi /4} {\left( {1 - \tan x} \right)/\left( {1 + \tan x} \right)dx} $$ $$\,\,\,\,\,\,$$ evaluates to
2
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
If $$\,\,\,\,f\,\,\,\,\left( x \right)$$ is defined as follows, what is the minimum value of $$f\,\left( x \right)$$ for $$x \in \left( {0,2} \right)$$ ?
$$$f\left( x \right) = \left\{ {\matrix{
{{{25} \over {8x}}\,\,when\,\,x \le {3 \over 2}} \cr
{x + {1 \over x}other\,wise} \cr
} } \right.$$$
3
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
A point on a curve is said to be an extremum if it is a local minimum or a local maximum. The number of distinct extrema for the curve $$3{x^4} - 16{x^3} + 24{x^2} + 37$$ is
4
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
What is the value of $$\int\limits_0^{2\pi } {{{\left( {x - \pi } \right)}^3}\left( {\sin x} \right)dx} $$
Questions Asked from Calculus (Marks 2)
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