Sr Examen
Integral de atan(x+3/2)+1 dx
Solución
Ha introducido
[src]
1 / | | (atan(x + 3/2) + 1) dx | / 0
$$\int\limits_{0}^{1} \left(\operatorname{atan}{\left(x + \frac{3}{2} \right)} + 1\right)\, dx$$
Integral(atan(x + 3/2) + 1, (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / 2\ | log\1 + (x + 3/2) / | (atan(x + 3/2) + 1) dx = C + x - ------------------- + (x + 3/2)*atan(x + 3/2) | 2 /
$$\int \left(\operatorname{atan}{\left(x + \frac{3}{2} \right)} + 1\right)\, dx = C + x + \left(x + \frac{3}{2}\right) \operatorname{atan}{\left(x + \frac{3}{2} \right)} - \frac{\log{\left(\left(x + \frac{3}{2}\right)^{2} + 1 \right)}}{2}$$
Gráfica
Respuesta
[src]
log(13) 3*atan(3/2) log(29) 5*atan(5/2)
1 + ------- - ----------- - ------- + -----------
2 2 2 2
$$- \frac{\log{\left(29 \right)}}{2} - \frac{3 \operatorname{atan}{\left(\frac{3}{2} \right)}}{2} + 1 + \frac{\log{\left(13 \right)}}{2} + \frac{5 \operatorname{atan}{\left(\frac{5}{2} \right)}}{2}$$
=
=
log(13) 3*atan(3/2) log(29) 5*atan(5/2)
1 + ------- - ----------- - ------- + -----------
2 2 2 2
$$- \frac{\log{\left(29 \right)}}{2} - \frac{3 \operatorname{atan}{\left(\frac{3}{2} \right)}}{2} + 1 + \frac{\log{\left(13 \right)}}{2} + \frac{5 \operatorname{atan}{\left(\frac{5}{2} \right)}}{2}$$
1 + log(13)/2 - 3*atan(3/2)/2 - log(29)/2 + 5*atan(5/2)/2
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.