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192x+8120
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192x+8120
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20x+5000-25x+13\left(240-x\right)+30\left(6x+x\right)
Use the distributive property to multiply 25 by 200-x.
-5x+5000+13\left(240-x\right)+30\left(6x+x\right)
Combine 20x and -25x to get -5x.
-5x+5000+3120-13x+30\left(6x+x\right)
Use the distributive property to multiply 13 by 240-x.
-5x+8120-13x+30\left(6x+x\right)
Add 5000 and 3120 to get 8120.
-18x+8120+30\left(6x+x\right)
Combine -5x and -13x to get -18x.
-18x+8120+30\times 7x
Combine 6x and x to get 7x.
-18x+8120+210x
Multiply 30 and 7 to get 210.
192x+8120
Combine -18x and 210x to get 192x.
20x+5000-25x+13\left(240-x\right)+30\left(6x+x\right)
Use the distributive property to multiply 25 by 200-x.
-5x+5000+13\left(240-x\right)+30\left(6x+x\right)
Combine 20x and -25x to get -5x.
-5x+5000+3120-13x+30\left(6x+x\right)
Use the distributive property to multiply 13 by 240-x.
-5x+8120-13x+30\left(6x+x\right)
Add 5000 and 3120 to get 8120.
-18x+8120+30\left(6x+x\right)
Combine -5x and -13x to get -18x.
-18x+8120+30\times 7x
Combine 6x and x to get 7x.
-18x+8120+210x
Multiply 30 and 7 to get 210.
192x+8120
Combine -18x and 210x to get 192x.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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