\int _ { 0 } ^ { 1 } ( x - 2 ) ^ { 2 } d x + \int _ { 1 } ^ { 4 } x d x - \frac { 32 } { 3 }
Factor
-\frac{5}{6} = -0.8333333333333334
Evaluate
-\frac{5}{6}\approx -0.833333333
Share
Copied to clipboard
\frac{3\int _{0}^{1}\left(x-2\right)^{2}\mathrm{d}x+3\int _{1}^{4}x\mathrm{d}x-32}{3}
Factor out \frac{1}{3}.
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}