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| − | ==Energy Calculation for function y = \ | + | ==Energy Calculation for function <math>y = \sqrt(x)</math> with timespan from 0 to 1== |
<math>P = \int_0^1\ \! |\sqrt(x)|^2 dx </math><br> | <math>P = \int_0^1\ \! |\sqrt(x)|^2 dx </math><br> | ||
| − | <math>P = \int_0^1\ \! |x|^2 | + | <math>P = \int_0^1\ \! |x| dx </math><br> |
| + | <math>P = {1 \over 2} * 1^2 - {1 \over 2} * 0^2 </math><br> | ||
| + | <math>P = {1 \over 2} </math><br> | ||
| − | ==Average Power Calculation for function y = x== | + | ==Average Power Calculation for function <math>y = \sqrt(x)</math> with timespan from 0 to 1== |
| + | <math>P = {1 \over {1 - 0}} \int_0^1\ \! |\sqrt(x)|^2 dx </math><br> | ||
| + | <math>P = \int_0^1\ \! |x| dx </math><br> | ||
| + | <math>P = {1 \over 2} * 1^2 - {1 \over 2} * 0^2 </math><br> | ||
| + | <math>P = {1 \over 2} </math><br> | ||
Latest revision as of 16:22, 4 September 2008
Energy Calculation for function $ y = \sqrt(x) $ with timespan from 0 to 1
$ P = \int_0^1\ \! |\sqrt(x)|^2 dx $
$ P = \int_0^1\ \! |x| dx $
$ P = {1 \over 2} * 1^2 - {1 \over 2} * 0^2 $
$ P = {1 \over 2} $
Average Power Calculation for function $ y = \sqrt(x) $ with timespan from 0 to 1
$ P = {1 \over {1 - 0}} \int_0^1\ \! |\sqrt(x)|^2 dx $
$ P = \int_0^1\ \! |x| dx $
$ P = {1 \over 2} * 1^2 - {1 \over 2} * 0^2 $
$ P = {1 \over 2} $
