Problem 1
The value of \(\int_{0}^{1} \frac{d x}{1+x}\) by Simpson's rule is (a) \(0.96815\) (b) \(0.63915\) (c) \(0.69315\) (d) 0,6 cho
Problem 4
\(f(x)\) is given by \(x: 0\) 1 \(0.5\) \(0.5\) 1 \(f(x)\) 1 \(0.8\) then using Trapezoidal rule, the value of \(\int_{0}^{1} f(x) d x\) is ...
Problem 7
For the data: \(t\) \(3 \quad 6\) \(9 \quad 12\) \(y(t)=-1\) 2 3 , the value of \(\int_{3}^{12} y(t)\) dt when eomputed by Simpson's \(\frac{1}{3} \mathrm{rd}\) rule is (a) 15 (b) 10 (c) 0 (d) \(5 .\)
Problem 13
The number of strips required in Simpson's \(3 / 8\) th rule is a multiple of (a) 1 (b) 2 (c) 3 (d) 6 .
