Sr Examen
Integral de sin(x)*cos(x/4)*(x^2+1) dx
Solución
Ha introducido
[src]
3/2 / | | /x\ / 2 \ | sin(x)*cos|-|*\x + 1/ dx | \4/ | / 0
$$\int\limits_{0}^{\frac{3}{2}} \sin{\left(x \right)} \cos{\left(\frac{x}{4} \right)} \left(x^{2} + 1\right)\, dx$$
Integral((sin(x)*cos(x/4))*(x^2 + 1), (x, 0, 3/2))
Gráfica
Respuesta
[src]
6128 1972*cos(3/2)*cos(3/8) 128*cos(3/2)*sin(3/8) 272*cos(3/8)*sin(3/2) 3347*sin(3/2)*sin(3/8) - ---- - ---------------------- - --------------------- + --------------------- + ---------------------- 3375 3375 75 75 3375
$$- \frac{6128}{3375} - \frac{128 \sin{\left(\frac{3}{8} \right)} \cos{\left(\frac{3}{2} \right)}}{75} - \frac{1972 \cos{\left(\frac{3}{8} \right)} \cos{\left(\frac{3}{2} \right)}}{3375} + \frac{3347 \sin{\left(\frac{3}{8} \right)} \sin{\left(\frac{3}{2} \right)}}{3375} + \frac{272 \sin{\left(\frac{3}{2} \right)} \cos{\left(\frac{3}{8} \right)}}{75}$$
=
=
6128 1972*cos(3/2)*cos(3/8) 128*cos(3/2)*sin(3/8) 272*cos(3/8)*sin(3/2) 3347*sin(3/2)*sin(3/8) - ---- - ---------------------- - --------------------- + --------------------- + ---------------------- 3375 3375 75 75 3375
$$- \frac{6128}{3375} - \frac{128 \sin{\left(\frac{3}{8} \right)} \cos{\left(\frac{3}{2} \right)}}{75} - \frac{1972 \cos{\left(\frac{3}{8} \right)} \cos{\left(\frac{3}{2} \right)}}{3375} + \frac{3347 \sin{\left(\frac{3}{8} \right)} \sin{\left(\frac{3}{2} \right)}}{3375} + \frac{272 \sin{\left(\frac{3}{2} \right)} \cos{\left(\frac{3}{8} \right)}}{75}$$
-6128/3375 - 1972*cos(3/2)*cos(3/8)/3375 - 128*cos(3/2)*sin(3/8)/75 + 272*cos(3/8)*sin(3/2)/75 + 3347*sin(3/2)*sin(3/8)/3375
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.