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