Question

ayuda cálculo integral ​

Answer 1

Respuesta:

Explicación paso a paso:

a)

    $\displaystyle\sum_{i=1}^{15}[3]i = (3)(1)+(3)(2)+(3)3()+(3)(4)+.......+(3)(14)+(3)(15)$

b)

    $\displaystyle\sum_{i=1}^{32}8 = 8[1]$

c)

  $\displaystyle\sum_{i=1}^{23}[\frac{3}{2} ]i^{2} = \frac{3}{2} (1)^2+\frac{3}{2} (2)^2+\frac{3}{2} (3)^2+..........+\frac{3}{2} (22)^2+\frac{3}{2} (23)^2$

d)

  $\displaystyle\sum_{j=1}^{45}[5]j^{2} +[7]j = 5\displaystyle\sum_{j=1}^{45}j^2 +7\displaystyle\sum_{j=1}^{45}j$

e)

   $\displaystyle\sum_{k=1}^{100}(k+2)^{[2]}=\displaystyle\sum_{k=1}^{100}k^2+4\displaystyle\sum_{k=1}^{100}k+\displaystyle\sum_{k=1}^{100}4$

f)

   $\displaystyle\sum_{i=1}^{[23]}i=\frac{(23)(24)}{2}$

g)

  $\displaystyle\sum_{i=1}^{[50]}i^{[2]}=\frac{(50)(51)(101)}{6}$

h)  

    $\displaystyle\sum_{i=1}^{[87]}i^{[3]}=\frac{(87)(88)}{4}$