TS EAMCET · Maths · Definite Integration
The approximate value of \(\int_2 x^2 d x\) by using trapezoidal rule with 4 equal intervals, is
- A \(248\)
- B \(242.5\)
- C \(242.8\)
- D \(243\)
Answer & Solution
Correct Answer
(A) \(248\)
Step-by-step Solution
Detailed explanation
Here, \(\begin{aligned} n=4, h=\frac{9-1}{4}=2 \\ y_0=f(1)=(1)^2=1 \\ y_1=f(3)=(3)^2=9 \\ y_2=f(5)=(5)^2=25 \\ y_3=f(7)=(7)^2=49 \\ y_4=f(9)=(9)^2=81 \end{aligned}\) by trapezoidal rule…
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