Sr Examen
Integral de (e^-3x)(65cos(2x))/-2e^-4x dx
Solución
Ha introducido
[src]
1 / | | /x \ | |--*65*cos(2*x)| | | 3 | | |E | | |--------------| | \ -2 / | ----------------*x dx | 4 | E | / 0
$$\int\limits_{0}^{1} x \frac{\frac{1}{-2} \frac{x}{e^{3}} \cdot 65 \cos{\left(2 x \right)}}{e^{4}}\, dx$$
Integral(((((x/E^3)*(65*cos(2*x)))/(-2))/E^4)*x, (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | /x \ | |--*65*cos(2*x)| | | 3 | / 2 \ | |E | | sin(2*x) x*cos(2*x) x *sin(2*x)| -7 | |--------------| 65*|- -------- + ---------- + -----------|*e | \ -2 / \ 4 2 2 / | ----------------*x dx = C - ---------------------------------------------- | 4 2 | E | /
$$\int x \frac{\frac{1}{-2} \frac{x}{e^{3}} \cdot 65 \cos{\left(2 x \right)}}{e^{4}}\, dx = C - \frac{65 \left(\frac{x^{2} \sin{\left(2 x \right)}}{2} + \frac{x \cos{\left(2 x \right)}}{2} - \frac{\sin{\left(2 x \right)}}{4}\right)}{2 e^{7}}$$
Gráfica
Respuesta
[src]
/cos(2) sin(2)\ -7
-65*|------ + ------|*e
\ 2 4 /
-------------------------
2
$$- \frac{65 \left(\frac{\cos{\left(2 \right)}}{2} + \frac{\sin{\left(2 \right)}}{4}\right)}{2 e^{7}}$$
=
=
/cos(2) sin(2)\ -7
-65*|------ + ------|*e
\ 2 4 /
-------------------------
2
$$- \frac{65 \left(\frac{\cos{\left(2 \right)}}{2} + \frac{\sin{\left(2 \right)}}{4}\right)}{2 e^{7}}$$
-65*(cos(2)/2 + sin(2)/4)*exp(-7)/2
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.