Sr Examen
Integral de 36/((x+2)(x^2-2x+10)) dx
Solución
Ha introducido
[src]
1 / | | 36 | ----------------------- dx | / 2 \ | (x + 2)*\x - 2*x + 10/ | / 0
$$\int\limits_{0}^{1} \frac{36}{\left(x + 2\right) \left(\left(x^{2} - 2 x\right) + 10\right)}\, dx$$
Integral(36/(((x + 2)*(x^2 - 2*x + 10))), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | 36 / 2 \ / 1 x\ | ----------------------- dx = C - log\10 + x - 2*x/ + 2*atan|- - + -| + 2*log(2 + x) | / 2 \ \ 3 3/ | (x + 2)*\x - 2*x + 10/ | /
$$\int \frac{36}{\left(x + 2\right) \left(\left(x^{2} - 2 x\right) + 10\right)}\, dx = C + 2 \log{\left(x + 2 \right)} - \log{\left(x^{2} - 2 x + 10 \right)} + 2 \operatorname{atan}{\left(\frac{x}{3} - \frac{1}{3} \right)}$$
Gráfica
Respuesta
[src]
-log(9) - 2*log(2) + 2*atan(1/3) + 2*log(3) + log(10)
$$- \log{\left(9 \right)} - 2 \log{\left(2 \right)} + 2 \operatorname{atan}{\left(\frac{1}{3} \right)} + 2 \log{\left(3 \right)} + \log{\left(10 \right)}$$
=
=
-log(9) - 2*log(2) + 2*atan(1/3) + 2*log(3) + log(10)
$$- \log{\left(9 \right)} - 2 \log{\left(2 \right)} + 2 \operatorname{atan}{\left(\frac{1}{3} \right)} + 2 \log{\left(3 \right)} + \log{\left(10 \right)}$$
-log(9) - 2*log(2) + 2*atan(1/3) + 2*log(3) + log(10)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.