Limit Formula to
Evaluate b∫a f ( x)dx
Divide
the interval [a , b] into n equal subintervals [ x0,
x1 ], [ x1, x2 ], . . . , [ xn-2,
xn-1 ], [ xn-1, xn ], such that a = x0
<
x1 < x2 <
. . . < xn −1 < xn
=
b . Then, we have x1 – x0 = x2
– x1 = . . . = xn – xn-1 = b-a / n . Put h = b−a / n. Then,
we get xi = a + ih, i = 1, 2, , n.
So, by
the definition of definite integral, we get
Related Topics
Privacy Policy, Terms and Conditions, DMCA Policy and Compliant
Copyright © 2018-2023 BrainKart.com; All Rights Reserved. Developed by Therithal info, Chennai.