Sr Examen
Integral de (-2*(x-0.8)^2)/(x*x+1) dx
Solución
Ha introducido
[src]
4/5 / | | 2 | -2*(x - 4/5) | ------------- dx | x*x + 1 | / 2/5
$$\int\limits_{\frac{2}{5}}^{\frac{4}{5}} \frac{\left(-1\right) 2 \left(x - \frac{4}{5}\right)^{2}}{x x + 1}\, dx$$
Integral((-2*(x - 4/5)^2)/(x*x + 1), (x, 2/5, 4/5))
Respuesta (Indefinida)
[src]
/ | | 2 / 2\ | -2*(x - 4/5) 8*log\1 + x / 18*atan(x) | ------------- dx = C - 2*x + ------------- + ---------- | x*x + 1 5 25 | /
$$\int \frac{\left(-1\right) 2 \left(x - \frac{4}{5}\right)^{2}}{x x + 1}\, dx = C - 2 x + \frac{8 \log{\left(x^{2} + 1 \right)}}{5} + \frac{18 \operatorname{atan}{\left(x \right)}}{25}$$
Gráfica
Respuesta
[src]
/29\ /41\
8*log|--| 8*log|--|
4 18*atan(2/5) \25/ \25/ 18*atan(4/5)
- - - ------------ - --------- + --------- + ------------
5 25 5 5 25
$$- \frac{4}{5} - \frac{18 \operatorname{atan}{\left(\frac{2}{5} \right)}}{25} - \frac{8 \log{\left(\frac{29}{25} \right)}}{5} + \frac{18 \operatorname{atan}{\left(\frac{4}{5} \right)}}{25} + \frac{8 \log{\left(\frac{41}{25} \right)}}{5}$$
=
=
/29\ /41\
8*log|--| 8*log|--|
4 18*atan(2/5) \25/ \25/ 18*atan(4/5)
- - - ------------ - --------- + --------- + ------------
5 25 5 5 25
$$- \frac{4}{5} - \frac{18 \operatorname{atan}{\left(\frac{2}{5} \right)}}{25} - \frac{8 \log{\left(\frac{29}{25} \right)}}{5} + \frac{18 \operatorname{atan}{\left(\frac{4}{5} \right)}}{25} + \frac{8 \log{\left(\frac{41}{25} \right)}}{5}$$
-4/5 - 18*atan(2/5)/25 - 8*log(29/25)/5 + 8*log(41/25)/5 + 18*atan(4/5)/25
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.