\pi \int _ { \frac { \sqrt { 2 } } { 2 } } ^ { 1 } x ^ { 4 } d x - \pi \int _ { \frac { \pi } { 2 } } ^ { 1 } ( \frac { \sqrt { 2 } } { 2 } x ) ^ { 2 } d x
Factor
\frac{\pi {(5 \pi ^ {3} + 8 - 6 \sqrt{2})}}{240} = 2.0230037448740843
Evaluate
-\frac{\pi \sqrt{2}}{40}+\frac{\pi ^{4}}{48}+\frac{\pi }{30}\approx 2.023003745
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\pi \left(\int _{\frac{\sqrt{2}}{2}}^{1}x^{4}\mathrm{d}x-\int _{\frac{\pi }{2}}^{1}\left(\frac{\sqrt{2}x}{2}\right)^{2}\mathrm{d}x\right)
Factor out \pi .
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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}