{ \left( { C }_{ 4 } \right) }^{ 0 } + { \left( { C }_{ 4 } \right) }^{ 1 } + { \left( { C }_{ 4 } \right) }^{ 2 } + { \left( { C }_{ 4 } \right) }^{ 3 } + { \left( { C }_{ 4 } \right) }^{ 4 }
Evaluate
C_{4}^{4}+C_{4}^{3}+C_{4}^{2}+C_{4}+1
Differentiate w.r.t. C_4
4C_{4}^{3}+3C_{4}^{2}+2C_{4}+1
Share
Copied to clipboard
1+C_{4}^{1}+C_{4}^{2}+C_{4}^{3}+C_{4}^{4}
Calculate C_{4} to the power of 0 and get 1.
1+C_{4}+C_{4}^{2}+C_{4}^{3}+C_{4}^{4}
Calculate C_{4} to the power of 1 and get C_{4}.
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}