Sr Examen
Resolución de integrales/
((4x^5+3x^4+2x^3+3x^2+2x+3)*ln(sin(3/x)+cos(1/x))*arcsin(1/x))/(5x^4+x^3+2x^2+2x+sin(3x)+4)
Integral de ((4x^5+3x^4+2x^3+3x^2+2x+3)*ln(sin(3/x)+cos(1/x))*arcsin(1/x))/(5x^4+x^3+2x^2+2x+sin(3x)+4) dx
Solución
Ha introducido
[src]
oo / | | / 5 4 3 2 \ / /3\ /1\\ /1\ | \4*x + 3*x + 2*x + 3*x + 2*x + 3/*log|sin|-| + cos|-||*asin|-| | \ \x/ \x// \x/ | ------------------------------------------------------------------ dx | 4 3 2 | 5*x + x + 2*x + 2*x + sin(3*x) + 4 | / 1
$$\int\limits_{1}^{\infty} \frac{\left(\left(2 x + \left(3 x^{2} + \left(2 x^{3} + \left(4 x^{5} + 3 x^{4}\right)\right)\right)\right) + 3\right) \log{\left(\sin{\left(\frac{3}{x} \right)} + \cos{\left(\frac{1}{x} \right)} \right)} \operatorname{asin}{\left(\frac{1}{x} \right)}}{\left(\left(2 x + \left(2 x^{2} + \left(5 x^{4} + x^{3}\right)\right)\right) + \sin{\left(3 x \right)}\right) + 4}\, dx$$
Integral((((4*x^5 + 3*x^4 + 2*x^3 + 3*x^2 + 2*x + 3)*log(sin(3/x) + cos(1/x)))*asin(1/x))/(5*x^4 + x^3 + 2*x^2 + 2*x + sin(3*x) + 4), (x, 1, oo))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.