Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Numerical Analysis Numerical Differentiation and Integration
The values of a, b, c such that
\(\rm \displaystyle \int_0^h f(x) d x\) = \(\rm h\left\{a f(0)+b f\left(\frac{h}{3}\right)+c f(h)\right\}\)
is exact for polynomials f of degree as high as possible are
1
a = 0, \(\rm b=\frac{3}{4}, c=\frac{1}{4}\)
2
\(\rm a=\frac{3}{4}, b=\frac{2}{4}, c=\frac{1}{4}\)
3
\(\rm a=\frac{-2}{4}, b=\frac{3}{4}, c=\frac{1}{4}\)
4
a = 0, \(\rm b=\frac{1}{4}, c=\frac{3}{4}\)