1.

int_(0)^(2)x[2x]dx, where[.] denotes greatest integer function, equals:

Answer»

`540`
`544`
`14/7`
`33/4`

Solution :`I=int_(0)^(1//2)0.dx+int_(1//2)^(1)xdx+int_(1)^(3//2)2xdx+int_(3//2)^(2)3xdx`
`=0+((x^(2))/2)_(1//2)^(1)+(x^(2))_(1)^(3//2)+((3X^(2))/2)_(3//2)^(2)=17/4`


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