TS EAMCET · Maths · Definite Integration
Let \(f(0)=1, f(0.5)=\frac{5}{4}, f(1)=2, f(1.5)=\frac{13}{4}\) and \(f(2)=5\). Using Simpson's rule, \(\int_0^2 f(x) d x\) is equal to
- A \(\frac{14}{3}\)
- B \(\frac{7}{6}\)
- C \(\frac{14}{9}\)
- D \(\frac{7}{9}\)
Answer & Solution
Correct Answer
(A) \(\frac{14}{3}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \because h=\frac{b-a}{n} \\ & \Rightarrow \quad h=\frac{2-0}{4}=0.5 \end{aligned}\) \(\therefore\) Simpson's rule,…
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