Sr Examen
Integral de tg(x^(-1/3))(ln((2)/sqrtx+1)) dx
Solución
Ha introducido
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oo / | | / 1 \ / 2 \ | tan|-----|*log|----- + 1| dx | |3 ___| | ___ | | \\/ x / \\/ x / | / 2
$$\int\limits_{2}^{\infty} \log{\left(1 + \frac{2}{\sqrt{x}} \right)} \tan{\left(\frac{1}{\sqrt[3]{x}} \right)}\, dx$$
Integral(tan(x^(-1/3))*log(2/sqrt(x) + 1), (x, 2, oo))
Respuesta (Indefinida)
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/ / | | | / 1 \ / 2 \ | / 2 \ / 1 \ | tan|-----|*log|----- + 1| dx = C + | log|1 + -----|*tan|-----| dx | |3 ___| | ___ | | | ___| |3 ___| | \\/ x / \\/ x / | \ \/ x / \\/ x / | | / /
$$\int \log{\left(1 + \frac{2}{\sqrt{x}} \right)} \tan{\left(\frac{1}{\sqrt[3]{x}} \right)}\, dx = C + \int \log{\left(1 + \frac{2}{\sqrt{x}} \right)} \tan{\left(\frac{1}{\sqrt[3]{x}} \right)}\, dx$$
Respuesta
[src]
oo / | | / 2 \ / 1 \ | log|1 + -----|*tan|-----| dx | | ___| |3 ___| | \ \/ x / \\/ x / | / 2
$$\int\limits_{2}^{\infty} \log{\left(1 + \frac{2}{\sqrt{x}} \right)} \tan{\left(\frac{1}{\sqrt[3]{x}} \right)}\, dx$$
=
=
oo / | | / 2 \ / 1 \ | log|1 + -----|*tan|-----| dx | | ___| |3 ___| | \ \/ x / \\/ x / | / 2
$$\int\limits_{2}^{\infty} \log{\left(1 + \frac{2}{\sqrt{x}} \right)} \tan{\left(\frac{1}{\sqrt[3]{x}} \right)}\, dx$$
Integral(log(1 + 2/sqrt(x))*tan(x^(-1/3)), (x, 2, oo))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.