Sr Examen
Integral de 1/((1+logx)((1+x^(k))^0.5)) dx
Solución
Ha introducido
[src]
oo / | | 1 | ------------------------ dx | ________ | / k | (1 + log(x))*\/ 1 + x | / 1
$$\int\limits_{1}^{\infty} \frac{1}{\sqrt{x^{k} + 1} \left(\log{\left(x \right)} + 1\right)}\, dx$$
Integral(1/((1 + log(x))*sqrt(1 + x^k)), (x, 1, oo))
Respuesta (Indefinida)
[src]
/ / | | | 1 | 1 | ------------------------ dx = C + | ------------------------ dx | ________ | ________ | / k | / k | (1 + log(x))*\/ 1 + x | \/ 1 + x *(1 + log(x)) | | / /
$$\int \frac{1}{\sqrt{x^{k} + 1} \left(\log{\left(x \right)} + 1\right)}\, dx = C + \int \frac{1}{\sqrt{x^{k} + 1} \left(\log{\left(x \right)} + 1\right)}\, dx$$
Respuesta
[src]
oo / | | 1 | ------------------------ dx | ________ | / k | \/ 1 + x *(1 + log(x)) | / 1
$$\int\limits_{1}^{\infty} \frac{1}{\sqrt{x^{k} + 1} \left(\log{\left(x \right)} + 1\right)}\, dx$$
=
=
oo / | | 1 | ------------------------ dx | ________ | / k | \/ 1 + x *(1 + log(x)) | / 1
$$\int\limits_{1}^{\infty} \frac{1}{\sqrt{x^{k} + 1} \left(\log{\left(x \right)} + 1\right)}\, dx$$
Integral(1/(sqrt(1 + x^k)*(1 + log(x))), (x, 1, oo))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.