Mister Exam

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How to use it?
Sum of series:
k*x+b
cos(n*p)/4
ln((n^2+1)/n^2)
ln^n2/3^n
Integral of d{x}:
sqrt(1+x^3)
Identical expressions
sqrt(one +x^ three)
square root of (1 plus x cubed )
square root of (one plus x to the power of three)
√(1+x^3)
sqrt(1+x3)
sqrt1+x3
sqrt(1+x³)
sqrt(1+x to the power of 3)
sqrt1+x^3
Similar expressions
sqrt(1-x^3)

Sum of series/ sqrt(1+x^3)

Sum of series sqrt(1+x^3)

The solution

You have entered [src]

 1/2             
 ___             
 \  `            
  \      ________
   )    /      3 
  /   \/  1 + x  
 /__,            
n = 0

$$\sum_{n=0}^{\frac{1}{2}} \sqrt{x^{3} + 1}$$

Sum(sqrt(1 + x^3), (n, 0, 1/2))

The answer [src]

     ________
    /      3 
3*\/  1 + x  
-------------
      2

$$\frac{3 \sqrt{x^{3} + 1}}{2}$$

3*sqrt(1 + x^3)/2

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
```