Sr Examen
Integral de cos(5x)/(x^2+49)^2 dx
Solución
Ha introducido
[src]
oo / | | cos(5*x) | ---------- dx | 2 | / 2 \ | \x + 49/ | / 0
$$\int\limits_{0}^{\infty} \frac{\cos{\left(5 x \right)}}{\left(x^{2} + 49\right)^{2}}\, dx$$
Integral(cos(5*x)/(x^2 + 49)^2, (x, 0, oo))
Respuesta
[src]
____ / ____ / 1225*sinh(35) 35*cosh(35)\ ____ / 35*sinh(35) 1225*cosh(35)\\
\/ pi *|\/ pi *|- ------------- + -----------| + \/ pi *|- ----------- + -------------||
\ \ 4 4 / \ 4 4 //
----------------------------------------------------------------------------------------
12005
$$\frac{\sqrt{\pi} \left(\sqrt{\pi} \left(- \frac{1225 \sinh{\left(35 \right)}}{4} + \frac{35 \cosh{\left(35 \right)}}{4}\right) + \sqrt{\pi} \left(- \frac{35 \sinh{\left(35 \right)}}{4} + \frac{1225 \cosh{\left(35 \right)}}{4}\right)\right)}{12005}$$
=
=
____ / ____ / 1225*sinh(35) 35*cosh(35)\ ____ / 35*sinh(35) 1225*cosh(35)\\
\/ pi *|\/ pi *|- ------------- + -----------| + \/ pi *|- ----------- + -------------||
\ \ 4 4 / \ 4 4 //
----------------------------------------------------------------------------------------
12005
$$\frac{\sqrt{\pi} \left(\sqrt{\pi} \left(- \frac{1225 \sinh{\left(35 \right)}}{4} + \frac{35 \cosh{\left(35 \right)}}{4}\right) + \sqrt{\pi} \left(- \frac{35 \sinh{\left(35 \right)}}{4} + \frac{1225 \cosh{\left(35 \right)}}{4}\right)\right)}{12005}$$
sqrt(pi)*(sqrt(pi)*(-1225*sinh(35)/4 + 35*cosh(35)/4) + sqrt(pi)*(-35*sinh(35)/4 + 1225*cosh(35)/4))/12005
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.