Sr Examen
Integral de (ln^2x)/x^(7/5) dx
Solución
Ha introducido
[src]
oo / | | 2 | log (x) | ------- dx | 7/5 | x | / 2
$$\int\limits_{2}^{\infty} \frac{\log{\left(x \right)}^{2}}{x^{\frac{7}{5}}}\, dx$$
Integral(log(x)^2/x^(7/5), (x, 2, oo))
Respuesta (Indefinida)
[src]
/ | | 2 2 | log (x) 125 25*log(x) 5*log (x) | ------- dx = C - ------ - --------- - --------- | 7/5 2/5 2/5 2/5 | x 4*x 2*x 2*x | /
$$\int \frac{\log{\left(x \right)}^{2}}{x^{\frac{7}{5}}}\, dx = C - \frac{5 \log{\left(x \right)}^{2}}{2 x^{\frac{2}{5}}} - \frac{25 \log{\left(x \right)}}{2 x^{\frac{2}{5}}} - \frac{125}{4 x^{\frac{2}{5}}}$$
Respuesta
[src]
3/5 3/5 2 3/5 125*2 5*2 *log (2) 25*2 *log(2) -------- + -------------- + -------------- 8 4 4
$$\frac{5 \cdot 2^{\frac{3}{5}} \log{\left(2 \right)}^{2}}{4} + \frac{25 \cdot 2^{\frac{3}{5}} \log{\left(2 \right)}}{4} + \frac{125 \cdot 2^{\frac{3}{5}}}{8}$$
=
=
3/5 3/5 2 3/5 125*2 5*2 *log (2) 25*2 *log(2) -------- + -------------- + -------------- 8 4 4
$$\frac{5 \cdot 2^{\frac{3}{5}} \log{\left(2 \right)}^{2}}{4} + \frac{25 \cdot 2^{\frac{3}{5}} \log{\left(2 \right)}}{4} + \frac{125 \cdot 2^{\frac{3}{5}}}{8}$$
125*2^(3/5)/8 + 5*2^(3/5)*log(2)^2/4 + 25*2^(3/5)*log(2)/4
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.