Sr Examen
Integral de (sqrt(2)*220*sin(x))^2 dx
Solución
Ha introducido
[src]
177 --- 50 / | | 2 | / ___ \ | \\/ 2 *220*sin(x)/ dx | / 87 -- 50
$$\int\limits_{\frac{87}{50}}^{\frac{177}{50}} \left(220 \sqrt{2} \sin{\left(x \right)}\right)^{2}\, dx$$
Integral(((sqrt(2)*220)*sin(x))^2, (x, 87/50, 177/50))
Respuesta (Indefinida)
[src]
/ | | 2 | / ___ \ 2 2 | \\/ 2 *220*sin(x)/ dx = C - 48400*cos(x)*sin(x) + 48400*x*cos (x) + 48400*x*sin (x) | /
$$\int \left(220 \sqrt{2} \sin{\left(x \right)}\right)^{2}\, dx = C + 48400 x \sin^{2}{\left(x \right)} + 48400 x \cos^{2}{\left(x \right)} - 48400 \sin{\left(x \right)} \cos{\left(x \right)}$$
Gráfica
Respuesta
[src]
/177\ /177\ /87\ /87\
87120 - 48400*cos|---|*sin|---| + 48400*cos|--|*sin|--|
\ 50/ \ 50/ \50/ \50/
$$- 48400 \sin{\left(\frac{177}{50} \right)} \cos{\left(\frac{177}{50} \right)} + 48400 \sin{\left(\frac{87}{50} \right)} \cos{\left(\frac{87}{50} \right)} + 87120$$
=
=
/177\ /177\ /87\ /87\
87120 - 48400*cos|---|*sin|---| + 48400*cos|--|*sin|--|
\ 50/ \ 50/ \50/ \50/
$$- 48400 \sin{\left(\frac{177}{50} \right)} \cos{\left(\frac{177}{50} \right)} + 48400 \sin{\left(\frac{87}{50} \right)} \cos{\left(\frac{87}{50} \right)} + 87120$$
87120 - 48400*cos(177/50)*sin(177/50) + 48400*cos(87/50)*sin(87/50)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.