Sr Examen
Integral de [4(5x-2)*sin(-2x-4)-4(12x-8)*arctg(-8x-9)] dx
Solución
Ha introducido
[src]
7 / | | (4*(5*x - 2)*sin(-2*x - 4) - 4*(12*x - 8)*atan(-8*x - 9)) dx | / -7
$$\int\limits_{-7}^{7} \left(4 \left(5 x - 2\right) \sin{\left(- 2 x - 4 \right)} - 4 \left(12 x - 8\right) \operatorname{atan}{\left(- 8 x - 9 \right)}\right)\, dx$$
Integral((4*(5*x - 2))*sin(-2*x - 4) - 4*(12*x - 8)*atan(-8*x - 9), (x, -7, 7))
Gráfica
Respuesta
[src]
43*log(1105) 43*log(2113)
-42 - 5*sin(10) - 5*sin(18) + 66*cos(18) + 74*cos(10) + 886*atan(65) + 1334*atan(47) - ------------ + ------------
8 8
$$74 \cos{\left(10 \right)} - 42 - \frac{43 \log{\left(1105 \right)}}{8} - 5 \sin{\left(10 \right)} - 5 \sin{\left(18 \right)} + \frac{43 \log{\left(2113 \right)}}{8} + 66 \cos{\left(18 \right)} + 886 \operatorname{atan}{\left(65 \right)} + 1334 \operatorname{atan}{\left(47 \right)}$$
=
=
43*log(1105) 43*log(2113)
-42 - 5*sin(10) - 5*sin(18) + 66*cos(18) + 74*cos(10) + 886*atan(65) + 1334*atan(47) - ------------ + ------------
8 8
$$74 \cos{\left(10 \right)} - 42 - \frac{43 \log{\left(1105 \right)}}{8} - 5 \sin{\left(10 \right)} - 5 \sin{\left(18 \right)} + \frac{43 \log{\left(2113 \right)}}{8} + 66 \cos{\left(18 \right)} + 886 \operatorname{atan}{\left(65 \right)} + 1334 \operatorname{atan}{\left(47 \right)}$$
-42 - 5*sin(10) - 5*sin(18) + 66*cos(18) + 74*cos(10) + 886*atan(65) + 1334*atan(47) - 43*log(1105)/8 + 43*log(2113)/8
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.