1
GATE ME 2015 Set 2
Numerical
+2
-0
The values of function $$(x)$$ at $$5$$ discrete points are given below: GATE ME 2015 Set 2 Engineering Mathematics - Numerical Methods Question 21 English

Using Trapezodial rule with step size of $$0.1,$$ the value of $$\,\int\limits_0^{0.4} {f\left( x \right)\,dx\,\,} $$ is __________.

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2
GATE ME 2015 Set 1
Numerical
+2
-0
Simpson's $${1 \over 3}$$ rule is used to integrate the function $$f\left( x \right) = {3 \over 5}{x^2} + {9 \over 5}\,\,$$ between $$x=0$$ and $$x=1$$ using the least number of equal sub-intervals. The value of the integral is __________.
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3
GATE ME 2014 Set 4
MCQ (Single Correct Answer)
+2
-0.6
Consider an ordinary differential equation $${{dx} \over {dt}} = 4t + 4.\,\,$$ If $$x = {x_0}$$ at $$t=0,$$ the increment in $$x$$ calculated using Runge-Kutta fourth order multi-step method with a step size of $$\Delta t = 0.2$$ is
A
$$0.22$$
B
$$0.44$$
C
$$0.66$$
D
$$0.88$$
4
GATE ME 2014 Set 2
Numerical
+2
-0
The value of $$\int\limits_{2.5}^4 {\ln \left( x \right)} $$ calculated using the Trapezoidal rule with five sub-intervals is
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