AP EAMCET · Maths · Definite Integration
The approximate value of \(\int_1^3 \frac{d x}{2+3 x}\) using Simpson's rule and dividing the interval \([1,3]\) into two equal parts is
- A \(\frac{1}{3} \log \left(\frac{11}{5}\right)\)
- B \(\frac{107}{110}\)
- C \(\frac{29}{110}\)
- D \(\frac{119}{440}\)
Answer & Solution
Correct Answer
(C) \(\frac{29}{110}\)
Step-by-step Solution
Detailed explanation
Here, \(h=\frac{3-1}{2}=1\) \begin{array}{c|c|c|c} \hlinex & 1.0 & 2.0 & 3.0 \\ \hliney & 0.2 & 0.125 & 0.09 \\ \hline \end{array}…
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