Mister Exam

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Sum of series:
1/n^n
(2n+1)/(n(n+2)(n+4))
1/(n(n+2)(n+1))
((n^2+5n-3)/(4n+7))^n
Integral of d{x}:
exp(x)*sin(x)
Identical expressions
exp(x)*sin(x)
exponent of (x) multiply by sinus of (x)
exp(x)sin(x)
expxsinx
Similar expressions
exp(x)*sinx

Sum of series/ exp(x)*sin(x)

Sum of series exp(x)*sin(x)

The solution

You have entered [src]

  3            
 ___           
 \  `          
  \    x       
  /   e *sin(x)
 /__,          
n = 1

$$\sum_{n=1}^{3} e^{x} \sin{\left(x \right)}$$

Sum(exp(x)*sin(x), (n, 1, 3))

The answer [src]

   x       
3*e *sin(x)

$$3 e^{x} \sin{\left(x \right)}$$

3*exp(x)*sin(x)

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
```