Mister Exam

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How to use it?
Sum of series:
1/(3n-2)*(3n+1)
1/ln(n)
x^3*x
sinn/n
Graphing y =:
x^3*x
Identical expressions
x^ three *x
x cubed multiply by x
x to the power of three multiply by x
x3*x
x³*x
x to the power of 3*x
x^3x
x3x

Sum of series/ x^3*x

Sum of series x^3*x

The solution

You have entered [src]

  x       
 ___      
 \  `     
  \    3  
  /   x *x
 /__,     
n = 1

\sum_{n=1}^{x} x x^{3}

Sum(x^3*x, (n, 1, x))

The answer [src]

5
x

x^{5}

x^5

Examples of finding the sum of a series

The Sum of the Power Series
```
x^n/n
```
```
(x-1)^n
```
Factorial
```
1/2^(n!)
```
```
n^2/n!
```
```
x^n/n!
```
```
k!/(n!*(n+k)!)
```
Flint Hills Series
```
csc(n)^2/n^3
```
Basel problem
```
1/n^2
```
```
1/n^4
```
```
1/n^6
```
Harmonic series
```
1/n
```
Grandi's series
```
(-1)^n
```
Alternating series
```
(-1)^(n + 1)/n
```
```
(n + 2)*(-1)^(n - 1)
```
```
(3*n - 1)/(-5)^n
```
```
(-1)^(n - 1)*n/(6*n - 5)
```
Newton–Mercator series
```
(-1)^(n + 1)/n*x^n
```
Exam the series for convergence
```
(3*n - 1)/(-5)^n
```