Evaluate
3969x^{3}-69x
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3969x^{3}-69x
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\left(\left(21x\right)^{2}-8\right)\times 9x+3x
Combine 14x and 7x to get 21x.
\left(21^{2}x^{2}-8\right)\times 9x+3x
Expand \left(21x\right)^{2}.
\left(441x^{2}-8\right)\times 9x+3x
Calculate 21 to the power of 2 and get 441.
\left(3969x^{2}-72\right)x+3x
Use the distributive property to multiply 441x^{2}-8 by 9.
3969x^{3}-72x+3x
Use the distributive property to multiply 3969x^{2}-72 by x.
3969x^{3}-69x
Combine -72x and 3x to get -69x.
\left(\left(21x\right)^{2}-8\right)\times 9x+3x
Combine 14x and 7x to get 21x.
\left(21^{2}x^{2}-8\right)\times 9x+3x
Expand \left(21x\right)^{2}.
\left(441x^{2}-8\right)\times 9x+3x
Calculate 21 to the power of 2 and get 441.
\left(3969x^{2}-72\right)x+3x
Use the distributive property to multiply 441x^{2}-8 by 9.
3969x^{3}-72x+3x
Use the distributive property to multiply 3969x^{2}-72 by x.
3969x^{3}-69x
Combine -72x and 3x to get -69x.
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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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