Sr Examen
Integral de cosx/((sinx)^2+2(tanx)^2) dx
Solución
Ha introducido
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1 / | | cos(x) | ------------------- dx | 2 2 | sin (x) + 2*tan (x) | / 0
$$\int\limits_{0}^{1} \frac{\cos{\left(x \right)}}{\sin^{2}{\left(x \right)} + 2 \tan^{2}{\left(x \right)}}\, dx$$
Integral(cos(x)/(sin(x)^2 + 2*tan(x)^2), (x, 0, 1))
Respuesta (Indefinida)
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/ / | | | cos(x) | cos(x) | ------------------- dx = C + | ------------------- dx | 2 2 | 2 2 | sin (x) + 2*tan (x) | sin (x) + 2*tan (x) | | / /
$$\int \frac{\cos{\left(x \right)}}{\sin^{2}{\left(x \right)} + 2 \tan^{2}{\left(x \right)}}\, dx = C + \int \frac{\cos{\left(x \right)}}{\sin^{2}{\left(x \right)} + 2 \tan^{2}{\left(x \right)}}\, dx$$
Respuesta
[src]
1 / | | cos(x) | ------------------- dx | 2 2 | sin (x) + 2*tan (x) | / 0
$$\int\limits_{0}^{1} \frac{\cos{\left(x \right)}}{\sin^{2}{\left(x \right)} + 2 \tan^{2}{\left(x \right)}}\, dx$$
=
=
1 / | | cos(x) | ------------------- dx | 2 2 | sin (x) + 2*tan (x) | / 0
$$\int\limits_{0}^{1} \frac{\cos{\left(x \right)}}{\sin^{2}{\left(x \right)} + 2 \tan^{2}{\left(x \right)}}\, dx$$
Integral(cos(x)/(sin(x)^2 + 2*tan(x)^2), (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.