\frac { 1 } { 2 } \cdot \int _ { - 1 } ^ { 0 } [ ( 2 x ^ { 3 } - 2 x ) ^ { 2 } - ( 2 x ^ { 2 } - 2 ) ^ { 2 } ] d x - \frac { 1 } { 2 } \int _ { 0 } ^ { 1 } [ ( 2 x ^ { 2 } - 2 ) ^ { 2 } - ( 2 x ^ { 3 } - 2 x ) ^ { 2 } ] d x
Factor
-\frac{64}{35} = -1\frac{29}{35} = -1.8285714285714285
Evaluate
-\frac{64}{35}\approx -1.828571429
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\frac{\int _{-1}^{0}\left(2x^{3}-2x\right)^{2}-\left(2x^{2}-2\right)^{2}\mathrm{d}x-\int _{0}^{1}\left(2x^{2}-2\right)^{2}-\left(2x^{3}-2x\right)^{2}\mathrm{d}x}{2}
Factor out \frac{1}{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}