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Find the partial fraction decomposition for the following rational expression.

`(10-(5t^(2)+10t))/((t+4)(t-1)(t-2))=(A)/(t+4)+(B)/(t-1)+(C)/(t-2)`

Answer:

`A=`

`?`

`B=`

`?`

` and C=`

`?`

Using the partial fraction decomposition above, evaluate the integral

`\int (10-(5t^(2)+10t))/((t+4)(t-1)(t-2))dt`

Answer:

`?`

N