Sr Examen
Integral de arctg(7*x+2) dx
Solución
Ha introducido
[src]
1 / | | atan(7*x + 2) dx | / 0
$$\int\limits_{0}^{1} \operatorname{atan}{\left(7 x + 2 \right)}\, dx$$
Integral(atan(7*x + 2), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / 2\ | log\1 + (7*x + 2) / (7*x + 2)*atan(7*x + 2) | atan(7*x + 2) dx = C - ------------------- + ----------------------- | 14 7 /
$$\int \operatorname{atan}{\left(7 x + 2 \right)}\, dx = C + \frac{\left(7 x + 2\right) \operatorname{atan}{\left(7 x + 2 \right)}}{7} - \frac{\log{\left(\left(7 x + 2\right)^{2} + 1 \right)}}{14}$$
Gráfica
Respuesta
[src]
2*atan(2) log(82) log(5) 9*atan(9)
- --------- - ------- + ------ + ---------
7 14 14 7
$$- \frac{2 \operatorname{atan}{\left(2 \right)}}{7} - \frac{\log{\left(82 \right)}}{14} + \frac{\log{\left(5 \right)}}{14} + \frac{9 \operatorname{atan}{\left(9 \right)}}{7}$$
=
=
2*atan(2) log(82) log(5) 9*atan(9)
- --------- - ------- + ------ + ---------
7 14 14 7
$$- \frac{2 \operatorname{atan}{\left(2 \right)}}{7} - \frac{\log{\left(82 \right)}}{14} + \frac{\log{\left(5 \right)}}{14} + \frac{9 \operatorname{atan}{\left(9 \right)}}{7}$$
-2*atan(2)/7 - log(82)/14 + log(5)/14 + 9*atan(9)/7
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.