Sr Examen
Integral de 1/(sqrt(1-4x^3)arccos2x) dx
Solución
Ha introducido
[src]
pi -- 8 / | | 1 | ----------------------- dx | __________ | / 3 | \/ 1 - 4*x *acos(2*x) | / pi -- 3
$$\int\limits_{\frac{\pi}{3}}^{\frac{\pi}{8}} \frac{1}{\sqrt{1 - 4 x^{3}} \operatorname{acos}{\left(2 x \right)}}\, dx$$
Integral(1/(sqrt(1 - 4*x^3)*acos(2*x)), (x, pi/3, pi/8))
Respuesta (Indefinida)
[src]
/ / | | | 1 | 1 | ----------------------- dx = C + | ----------------------- dx | __________ | __________ | / 3 | / 3 | \/ 1 - 4*x *acos(2*x) | \/ 1 - 4*x *acos(2*x) | | / /
$$\int \frac{1}{\sqrt{1 - 4 x^{3}} \operatorname{acos}{\left(2 x \right)}}\, dx = C + \int \frac{1}{\sqrt{1 - 4 x^{3}} \operatorname{acos}{\left(2 x \right)}}\, dx$$
Respuesta
[src]
pi -- 8 / | | 1 | ----------------------- dx | __________ | / 3 | \/ 1 - 4*x *acos(2*x) | / pi -- 3
$$\int\limits_{\frac{\pi}{3}}^{\frac{\pi}{8}} \frac{1}{\sqrt{1 - 4 x^{3}} \operatorname{acos}{\left(2 x \right)}}\, dx$$
=
=
pi -- 8 / | | 1 | ----------------------- dx | __________ | / 3 | \/ 1 - 4*x *acos(2*x) | / pi -- 3
$$\int\limits_{\frac{\pi}{3}}^{\frac{\pi}{8}} \frac{1}{\sqrt{1 - 4 x^{3}} \operatorname{acos}{\left(2 x \right)}}\, dx$$
Integral(1/(sqrt(1 - 4*x^3)*acos(2*x)), (x, pi/3, pi/8))
Respuesta numérica
[src]
(0.0890287901805454 + 0.662336070336381j)
(0.0890287901805454 + 0.662336070336381j)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.