Sr Examen
Integral de 1/(x*sqrt((ln(4x))^2+7)) dx
Solución
Ha introducido
[src]
1 / | | 1 | -------------------- dx | _______________ | / 2 | x*\/ log (4*x) + 7 | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{\log{\left(4 x \right)}^{2} + 7}}\, dx$$
Integral(1/(x*sqrt(log(4*x)^2 + 7)), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / | | | 1 | 1 | -------------------- dx = C + | ------------------------------------------------ dx | _______________ | ___________________________________________ | / 2 | / 2 2 | x*\/ log (4*x) + 7 | x*\/ 7 + log (x) + 4*log (2) + 4*log(2)*log(x) | | / /
$$\int \frac{1}{x \sqrt{\log{\left(4 x \right)}^{2} + 7}}\, dx = C + \int \frac{1}{x \sqrt{\log{\left(x \right)}^{2} + 4 \log{\left(2 \right)} \log{\left(x \right)} + 4 \log{\left(2 \right)}^{2} + 7}}\, dx$$
Respuesta
[src]
1 / | | 1 | ------------------------------------------------ dx | ___________________________________________ | / 2 2 | x*\/ 7 + log (x) + 4*log (2) + 4*log(2)*log(x) | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{\log{\left(x \right)}^{2} + 4 \log{\left(2 \right)} \log{\left(x \right)} + 4 \log{\left(2 \right)}^{2} + 7}}\, dx$$
=
=
1 / | | 1 | ------------------------------------------------ dx | ___________________________________________ | / 2 2 | x*\/ 7 + log (x) + 4*log (2) + 4*log(2)*log(x) | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{\log{\left(x \right)}^{2} + 4 \log{\left(2 \right)} \log{\left(x \right)} + 4 \log{\left(2 \right)}^{2} + 7}}\, dx$$
Integral(1/(x*sqrt(7 + log(x)^2 + 4*log(2)^2 + 4*log(2)*log(x))), (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.