Sr Examen
Integral de (sin2x)/(sqrt(3+x^2)) dx
Solución
Ha introducido
[src]
p - 6 / | | sin(2*x) | ----------- dx | ________ | / 2 | \/ 3 + x | / -p --- 6
$$\int\limits_{- \frac{p}{6}}^{\frac{p}{6}} \frac{\sin{\left(2 x \right)}}{\sqrt{x^{2} + 3}}\, dx$$
Integral(sin(2*x)/sqrt(3 + x^2), (x, -p/6, p/6))
Respuesta (Indefinida)
[src]
/ / | | | sin(2*x) | cos(x)*sin(x) | ----------- dx = C + 2* | ------------- dx | ________ | ________ | / 2 | / 2 | \/ 3 + x | \/ 3 + x | | / /
$$\int \frac{\sin{\left(2 x \right)}}{\sqrt{x^{2} + 3}}\, dx = C + 2 \int \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{\sqrt{x^{2} + 3}}\, dx$$
Respuesta
[src]
p - 6 / | | sin(2*x) | ----------- dx | ________ | / 2 | \/ 3 + x | / -p --- 6
$$\int\limits_{- \frac{p}{6}}^{\frac{p}{6}} \frac{\sin{\left(2 x \right)}}{\sqrt{x^{2} + 3}}\, dx$$
=
=
p - 6 / | | sin(2*x) | ----------- dx | ________ | / 2 | \/ 3 + x | / -p --- 6
$$\int\limits_{- \frac{p}{6}}^{\frac{p}{6}} \frac{\sin{\left(2 x \right)}}{\sqrt{x^{2} + 3}}\, dx$$
Integral(sin(2*x)/sqrt(3 + x^2), (x, -p/6, p/6))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.