Sr Examen
Integral de exp(-3x)*sinx*cos(13x) dx
Solución
Ha introducido
[src]
1 / | | -3*x | e *sin(x)*cos(13*x) dx | / 0
$$\int\limits_{0}^{1} e^{- 3 x} \sin{\left(x \right)} \cos{\left(13 x \right)}\, dx$$
Integral((exp(-3*x)*sin(x))*cos(13*x), (x, 0, 1))
Gráfica
Respuesta
[src]
-3 -3 -3 -3
53 179*cos(13)*e *sin(1) 26*cos(1)*e *sin(13) 53*cos(1)*cos(13)*e 767*e *sin(1)*sin(13)
- ----- - ---------------------- + --------------------- + --------------------- + ----------------------
10455 10455 10455 10455 10455
$$- \frac{53}{10455} - \frac{179 \sin{\left(1 \right)} \cos{\left(13 \right)}}{10455 e^{3}} + \frac{26 \sin{\left(13 \right)} \cos{\left(1 \right)}}{10455 e^{3}} + \frac{53 \cos{\left(1 \right)} \cos{\left(13 \right)}}{10455 e^{3}} + \frac{767 \sin{\left(1 \right)} \sin{\left(13 \right)}}{10455 e^{3}}$$
=
=
-3 -3 -3 -3
53 179*cos(13)*e *sin(1) 26*cos(1)*e *sin(13) 53*cos(1)*cos(13)*e 767*e *sin(1)*sin(13)
- ----- - ---------------------- + --------------------- + --------------------- + ----------------------
10455 10455 10455 10455 10455
$$- \frac{53}{10455} - \frac{179 \sin{\left(1 \right)} \cos{\left(13 \right)}}{10455 e^{3}} + \frac{26 \sin{\left(13 \right)} \cos{\left(1 \right)}}{10455 e^{3}} + \frac{53 \cos{\left(1 \right)} \cos{\left(13 \right)}}{10455 e^{3}} + \frac{767 \sin{\left(1 \right)} \sin{\left(13 \right)}}{10455 e^{3}}$$
-53/10455 - 179*cos(13)*exp(-3)*sin(1)/10455 + 26*cos(1)*exp(-3)*sin(13)/10455 + 53*cos(1)*cos(13)*exp(-3)/10455 + 767*exp(-3)*sin(1)*sin(13)/10455
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.