Mister Exam

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Sum of series:
1/(4n^2-1)
(2*x+3*k)/(2*x-k^2)
senh(9ix)
exp(-0.01*n)
Identical expressions
(two *x+ three *k)/(two *x-k^ two)
(2 multiply by x plus 3 multiply by k) divide by (2 multiply by x minus k squared )
(two multiply by x plus three multiply by k) divide by (two multiply by x minus k to the power of two)
(2*x+3*k)/(2*x-k2)
2*x+3*k/2*x-k2
(2*x+3*k)/(2*x-k²)
(2*x+3*k)/(2*x-k to the power of 2)
(2x+3k)/(2x-k^2)
(2x+3k)/(2x-k2)
2x+3k/2x-k2
2x+3k/2x-k^2
(2*x+3*k) divide by (2*x-k^2)
Similar expressions
(2*x+3*k)/(2*x+k^2)
(2*x-3*k)/(2*x-k^2)

Sum of series (2x+3k)/(2*x-k^2)

You have entered [src]

  4            
____           
\   `          
 \    2*x + 3*k
  \   ---------
  /           2
 /     2*x - k 
/___,          
k = 0

$$\sum_{k=0}^{4} \frac{3 k + 2 x}{- k^{2} + 2 x}$$

Sum((2*x + 3*k)/(2*x - k^2), (k, 0, 4))

The answer [src]

    3 + 2*x     12 + 2*x   9 + 2*x    6 + 2*x 
1 + -------- + --------- + -------- + --------
    -1 + 2*x   -16 + 2*x   -9 + 2*x   -4 + 2*x

$$1 + \frac{2 x + 3}{2 x - 1} + \frac{2 x + 6}{2 x - 4} + \frac{2 x + 9}{2 x - 9} + \frac{2 x + 12}{2 x - 16}$$

1 + (3 + 2*x)/(-1 + 2*x) + (12 + 2*x)/(-16 + 2*x) + (9 + 2*x)/(-9 + 2*x) + (6 + 2*x)/(-4 + 2*x)

Sum of series (2*x+3*k)/(2*x-k^2)