Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Numerical Analysis Numerical Differentiation and Integration
The value of a, b, c such that \(\int_0^h\)f(x)dx = h{af(0) + bf(\(\frac h3\)) + cf(h)} is exact for polynomials f of degree as high as possible are
1
a = 0, b = \(\frac34\), c = \(\frac14\)
2
a = \(\frac34\), b = \(\frac24\), c = \(\frac14\)
3
a = -\(\frac24\), b = \(\frac34\), c = \(\frac14\)
4
a = 0, b = \(\frac14\), c = \(\frac34\)