00:01
Hi, given integral 0 to 1 square root of x into sine x d x, we need to compute this value by using numerical analysis method.
00:17
Let f of x is equal to integral 0 to 1 square root of x sine x d x.
00:23
Here we have a is equal to 0, b is equal to 1.
00:28
The interval 0 comma 1 let choose n is equal to 5 then delta x is given by b minus a divided by n which is equal to 1 minus 0 divided by 5 is equal to 1 by 5 therefore we have x0 is 0 x1 is equal to 1 by 5 x 2 is equal to 1 by 5 x 2 is equal to 2 by 5.
01:04
X3 is equal to 3 by 5 x4 is equal to 4 by 5 and x5 5 is equal to 1.
01:18
Repisoidal rule is given by integral a to b f of x into d x is given by delta x by 2 into f of x0 plus 2 f of x 1 plus f of x 2 so on up to f of x n minus 1 plus f of x n f of x0 is equal to f of 0, sine 0 is 0.
01:45
F of x1 is equal to square root of 1 by 5 into sine of 1 by 5 which is equal to 0 .0 3 ,8, 4.
01:59
F of x2 is equal to square root of 2 by 5, sine of 2 by 5, which is equal to 0 .2462, 8...