1
GATE CSE 2015 Set 3
MCQ (Single Correct Answer)
+2
-0.6
If for non-zero $$x,$$ $$af\left( x \right) + bf\left( {{1 \over x}} \right) = {1 \over x} - 25$$
where $$a \ne b$$ then $$\int\limits_1^2 {f\left( x \right)dx} \,$$ is
where $$a \ne b$$ then $$\int\limits_1^2 {f\left( x \right)dx} \,$$ is
2
GATE CSE 2015 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Let $$\,\,f\left( x \right) = {x^{ - \left( {1/3} \right)}}\,\,$$ and $${\rm A}$$ denote the area of the region bounded by $$f(x)$$ and the $$X-$$axis, when $$x$$ varies from $$-1$$ to $$1.$$ Which of the following statements is/are TRUE?
$${\rm I}.$$ $$f$$ is continuous in $$\left[ { - 1,1} \right]$$
$${\rm I}{\rm I}.$$ $$f$$ is not bounded in $$\left[ { - 1,1} \right]$$
$${\rm I}{\rm I}{\rm I}.$$ $${\rm A}$$ is nonzero and finite
$${\rm I}.$$ $$f$$ is continuous in $$\left[ { - 1,1} \right]$$
$${\rm I}{\rm I}.$$ $$f$$ is not bounded in $$\left[ { - 1,1} \right]$$
$${\rm I}{\rm I}{\rm I}.$$ $${\rm A}$$ is nonzero and finite
3
GATE CSE 2015 Set 1
Numerical
+2
-0
$$\,\int\limits_{1/\pi }^{2/\pi } {{{\cos \left( {1/x} \right)} \over {{x^2}}}dx = } $$ __________.
Your input ____
4
GATE CSE 2014 Set 3
MCQ (Single Correct Answer)
+2
-0.6
The value of the integral given below is
$$$\int_0^\pi {{x^2}\,\cos \,x\,dx} $$$
Questions Asked from Calculus (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE CSE 2021 Set 1 (1)
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GATE CSE 2015 Set 3 (1)
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GATE CSE 2015 Set 1 (1)
GATE CSE 2014 Set 3 (2)
GATE CSE 2014 Set 1 (2)
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