Sr Examen
Integral de tanx/√(sin⁴x+cos⁴x) dx
Solución
Ha introducido
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1 / | | tan(x) | ---------------------- dx | ___________________ | / 4 4 | \/ sin (x) + cos (x) | / 0
$$\int\limits_{0}^{1} \frac{\tan{\left(x \right)}}{\sqrt{\sin^{4}{\left(x \right)} + \cos^{4}{\left(x \right)}}}\, dx$$
Integral(tan(x)/sqrt(sin(x)^4 + cos(x)^4), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / | | | tan(x) | tan(x) | ---------------------- dx = C + | ---------------------- dx | ___________________ | ___________________ | / 4 4 | / 4 4 | \/ sin (x) + cos (x) | \/ cos (x) + sin (x) | | / /
$$\int \frac{\tan{\left(x \right)}}{\sqrt{\sin^{4}{\left(x \right)} + \cos^{4}{\left(x \right)}}}\, dx = C + \int \frac{\tan{\left(x \right)}}{\sqrt{\sin^{4}{\left(x \right)} + \cos^{4}{\left(x \right)}}}\, dx$$
Respuesta
[src]
1 / | | tan(x) | ---------------------- dx | ___________________ | / 4 4 | \/ cos (x) + sin (x) | / 0
$$\int\limits_{0}^{1} \frac{\tan{\left(x \right)}}{\sqrt{\sin^{4}{\left(x \right)} + \cos^{4}{\left(x \right)}}}\, dx$$
=
=
1 / | | tan(x) | ---------------------- dx | ___________________ | / 4 4 | \/ cos (x) + sin (x) | / 0
$$\int\limits_{0}^{1} \frac{\tan{\left(x \right)}}{\sqrt{\sin^{4}{\left(x \right)} + \cos^{4}{\left(x \right)}}}\, dx$$
Integral(tan(x)/sqrt(cos(x)^4 + sin(x)^4), (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.