\pi \int _ { 0 } ^ { 1 } [ ( x ^ { 2 } - 2 x ) ^ { 2 } - ( 2 x ) ^ { 2 } ] d x + \pi \int _ { 1 } ^ { 2 } [ ( x ^ { 2 } - 2 x ) ^ { 2 } - ( 2 x - 4 ) ^ { 2 } ] d x
Factor
-\frac{8 \pi}{5} = -5.026548245743669
Evaluate
-\frac{8\pi }{5}\approx -5.026548246
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\pi \left(\int _{0}^{1}\left(x^{2}-2x\right)^{2}-\left(2x\right)^{2}\mathrm{d}x+\int _{1}^{2}\left(x^{2}-2x\right)^{2}-\left(2x-4\right)^{2}\mathrm{d}x\right)
Factor out \pi .
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}