Find the approximated integral value using Right Riemann Sum
| x | f(x) |
| 0.00 | 1.0000 |
| 0.25 | 0.9896 |
| 0.50 | 0.9589 |
| 0.75 | 0.9089 |
| 1.00 | 0.8415 |
Solution:The value of table for `x` and `f(x)`
| `x` | `f(x)` |
| `x_0=0` | `f(x_(0))=1` |
| `x_1=0.25` | `f(x_(1))=0.9896` |
| `x_2=0.5` | `f(x_(2))=0.9589` |
| `x_3=0.75` | `f(x_(3))=0.9089` |
| `x_4=1` | `f(x_(4))=0.8415` |
Method-1:Using Right Riemann Sum
`int f(x) dx=Delta x xx(f(x_(1))+f(x_(2))+...+f(x_(n)))`
`int f(x) dx=Delta x xx(f(x_(1))+f(x_(2))+f(x_(3))+f(x_(4)))`
`=0.25xx(0.9896+0.9589+0.9089+0.8415)`
`=0.25xx(3.6989)`
`=0.9247`
Solution by Right Riemann Sum is `0.9247`
This material is intended as a summary. Use your textbook for detail explanation.
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