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