AP EAMCET · Maths · Area Under Curves
The values of a function \(f(x)\) at different values of \(x\) are as follows
Then, the approximate area (in square units) bounded by the curve \(y=f(x)\) and \(x\)-axis between \(x=0\) and 5 , using the Trapezoidal rule, is
- A 50
- B 75
- C 52.5
- D 62.5
Answer & Solution
Correct Answer
(C) 52.5
Step-by-step Solution
Detailed explanation
\(h=\) difference of two values of \(x\) Take value of \(f(x)\) as \(\left(y_0, y_1, y_2, \ldots, y_5\right)\) Then by Trapezoidal rule Now, \(\int_{x_0}^{x_0+n h} f(x) d x\) \(=\frac{h}{2}\left[\left(y_0+y_5\right)+2\left(y_1+y_2+y_3+y_4\right)\right]\)…
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