Sr Examen
Integral de x×sinx/(4+tg^2x) dx
Solución
Ha introducido
[src]
pi -- 3 / | | x*sin(x) | ----------- dx | 2 | 4 + tan (x) | / -pi ---- 3
$$\int\limits_{- \frac{\pi}{3}}^{\frac{\pi}{3}} \frac{x \sin{\left(x \right)}}{\tan^{2}{\left(x \right)} + 4}\, dx$$
Integral((x*sin(x))/(4 + tan(x)^2), (x, -pi/3, pi/3))
Respuesta (Indefinida)
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/ / | | | x*sin(x) | x*sin(x) | ----------- dx = C + | ----------- dx | 2 | 2 | 4 + tan (x) | 4 + tan (x) | | / /
$$\int \frac{x \sin{\left(x \right)}}{\tan^{2}{\left(x \right)} + 4}\, dx = C + \int \frac{x \sin{\left(x \right)}}{\tan^{2}{\left(x \right)} + 4}\, dx$$
Respuesta
[src]
pi -- 3 / | | x*sin(x) | ----------- dx | 2 | 4 + tan (x) | / -pi ---- 3
$$\int\limits_{- \frac{\pi}{3}}^{\frac{\pi}{3}} \frac{x \sin{\left(x \right)}}{\tan^{2}{\left(x \right)} + 4}\, dx$$
=
=
pi -- 3 / | | x*sin(x) | ----------- dx | 2 | 4 + tan (x) | / -pi ---- 3
$$\int\limits_{- \frac{\pi}{3}}^{\frac{\pi}{3}} \frac{x \sin{\left(x \right)}}{\tan^{2}{\left(x \right)} + 4}\, dx$$
Integral(x*sin(x)/(4 + tan(x)^2), (x, -pi/3, pi/3))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.