Evaluate
\frac{\left(x+1\right)\left(2x^{2}+x+1\right)}{6}
Expand
\frac{x^{3}}{3}+\frac{x^{2}}{2}+\frac{x}{3}+\frac{1}{6}
Graph
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\frac{\left(x^{2}+x\right)\left(2x+1\right)+x+1}{6}
Use the distributive property to multiply x by x+1.
\frac{2x^{3}+x^{2}+2x^{2}+x+x+1}{6}
Apply the distributive property by multiplying each term of x^{2}+x by each term of 2x+1.
\frac{2x^{3}+3x^{2}+x+x+1}{6}
Combine x^{2} and 2x^{2} to get 3x^{2}.
\frac{2x^{3}+3x^{2}+2x+1}{6}
Combine x and x to get 2x.
\frac{\left(x^{2}+x\right)\left(2x+1\right)+x+1}{6}
Use the distributive property to multiply x by x+1.
\frac{2x^{3}+x^{2}+2x^{2}+x+x+1}{6}
Apply the distributive property by multiplying each term of x^{2}+x by each term of 2x+1.
\frac{2x^{3}+3x^{2}+x+x+1}{6}
Combine x^{2} and 2x^{2} to get 3x^{2}.
\frac{2x^{3}+3x^{2}+2x+1}{6}
Combine x and x to get 2x.
Examples
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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