Sr Examen

Otras calculadoras

Resolución de integrales/ (2x-1)/ arctg/ (2x+1)/ (2x+1)arctg(sqrt(2x-1))

Integral de (2x+1)arctg(sqrt(2x-1)) dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
  1                               
  /                               
 |                                
 |                /  _________\   
 |  (2*x + 1)*atan\\/ 2*x - 1 / dx
 |                                
/                                 
0
∫01(2x+1)atan⁡(2x−1) dx\int\limits_{0}^{1} \left(2 x + 1\right) \operatorname{atan}{\left(\sqrt{2 x - 1} \right)}\, dx 
Integral((2*x + 1)*atan(sqrt(2*x - 1)), (x, 0, 1))
Respuesta (Indefinida) [src] 
  /                                                                                                                                                           
 |                                          __________             3/2         /  __________\                                             2     /  __________\
 |               /  _________\          3*\/ -1 + 2*x    (-1 + 2*x)      3*atan\\/ -1 + 2*x /                  /  __________\   (-1 + 2*x) *atan\\/ -1 + 2*x /
 | (2*x + 1)*atan\\/ 2*x - 1 / dx = C - -------------- - ------------- + -------------------- + (-1 + 2*x)*atan\\/ -1 + 2*x / + ------------------------------
 |                                            4                12                 4                                                           4               
/
∫(2x+1)atan⁡(2x−1) dx=C−(2x−1)3212−32x−14+(2x−1)2atan⁡(2x−1)4+(2x−1)atan⁡(2x−1)+3atan⁡(2x−1)4\int \left(2 x + 1\right) \operatorname{atan}{\left(\sqrt{2 x - 1} \right)}\, dx = C - \frac{\left(2 x - 1\right)^{\frac{3}{2}}}{12} - \frac{3 \sqrt{2 x - 1}}{4} + \frac{\left(2 x - 1\right)^{2} \operatorname{atan}{\left(\sqrt{2 x - 1} \right)}}{4} + \left(2 x - 1\right) \operatorname{atan}{\left(\sqrt{2 x - 1} \right)} + \frac{3 \operatorname{atan}{\left(\sqrt{2 x - 1} \right)}}{4}
Simplificar
Gráfica
0.001.000.100.200.300.400.500.600.700.800.900.02.5
Trazar el gráfico f(x)
Respuesta [src] 
  1                                
  /                                
 |                                 
 |                /  __________\   
 |  (1 + 2*x)*atan\\/ -1 + 2*x / dx
 |                                 
/                                  
0
∫01(2x+1)atan⁡(2x−1) dx\int\limits_{0}^{1} \left(2 x + 1\right) \operatorname{atan}{\left(\sqrt{2 x - 1} \right)}\, dx 
=
= 
  1                                
  /                                
 |                                 
 |                /  __________\   
 |  (1 + 2*x)*atan\\/ -1 + 2*x / dx
 |                                 
/                                  
0
∫01(2x+1)atan⁡(2x−1) dx\int\limits_{0}^{1} \left(2 x + 1\right) \operatorname{atan}{\left(\sqrt{2 x - 1} \right)}\, dx 
Integral((1 + 2*x)*atan(sqrt(-1 + 2*x)), (x, 0, 1))
Respuesta numérica [src] 
(0.736663227448645 + 0.665867702484747j)
(0.736663227448645 + 0.665867702484747j)

    Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.

    © Sr Examen – Калькулятор