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12th
grade

Mathematics

65%

accuracy

31

plays

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4 years

Mathematics

12th

grade

Trapezoidal Rule

user

31
plays

5 questions

5 questions

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1. Multiple Choice
20 seconds
1 pt
Trapezozidal rule is NOT the method of finding the exact value of a definite integral.
This statement is
True
False
2. Multiple Choice
30 seconds
1 pt
The correct formula for Trapezoidal Rule of the definite integral $\int_a^bydx$ , where $y=f\left(x\right)$ is
$\frac{b-a}{n}\left[y_0+y_n+2\left(y_1+y_2+...+y_{n-1}\right)\right]$
$\frac{b-a}{2n}\left[y_0+y_n+y_1+y_2+...+y_{n-1}\right]$
$\frac{b-a}{2n}\left[y_0+y_n+2\left(y_1+y_2+...y_{n-1}\right)\right]$
$\frac{b-a}{n}\left[y_0+y_n+\left(y_1+y_2+...+y_{n-1}\right)\right]$
3. Multiple Choice
30 seconds
1 pt
The width of the trapezoid of the definite integral $\int_{0.5}^1e^{x^2}dx$ with with 5 ordinates is
0.1
0.3
0.125
0.375
4. Multiple Choice
20 seconds
1 pt
Which of the followings statement is FALSE.
8 strips , n = 8
6 sub interval, n = 6
7 ordintes , n = 7
10 interval, n = 10
5. Multiple Choice
2 minutes
1 pt
Use the trapezoidal rule with 3 sub interval to estimate
$\int_0^{\frac{\pi}{4}}\sqrt{1+\sin x}dx$ , correct to 2 decimal places.
0.79
0.92
0.80
0.91
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