Sr Examen
Integral de 1/(x*(1+4*ln^2(x))) dx
Solución
Ha introducido
[src]
1 / | | 1 | ----------------- dx | / 2 \ | x*\1 + 4*log (x)/ | / 0
$$\int\limits_{0}^{1} \frac{1}{x \left(4 \log{\left(x \right)}^{2} + 1\right)}\, dx$$
Integral(1/(x*(1 + 4*log(x)^2)), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | 1 / 2 \ | ----------------- dx = C + RootSum\16*z + 1, i -> i*log(2*i + log(x))/ | / 2 \ | x*\1 + 4*log (x)/ | /
$$\int \frac{1}{x \left(4 \log{\left(x \right)}^{2} + 1\right)}\, dx = C + \operatorname{RootSum} {\left(16 z^{2} + 1, \left( i \mapsto i \log{\left(2 i + \log{\left(x \right)} \right)} \right)\right)}$$
Gráfica
Respuesta
[src]
1 / | | 1 | ----------------- dx | / 2 \ | x*\1 + 4*log (x)/ | / 0
$$\int\limits_{0}^{1} \frac{1}{x \left(4 \log{\left(x \right)}^{2} + 1\right)}\, dx$$
=
=
1 / | | 1 | ----------------- dx | / 2 \ | x*\1 + 4*log (x)/ | / 0
$$\int\limits_{0}^{1} \frac{1}{x \left(4 \log{\left(x \right)}^{2} + 1\right)}\, dx$$
Integral(1/(x*(1 + 4*log(x)^2)), (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.