Sr Examen
Integral de (4tgx-5)/(1-sin2x+4(cos)^2(x)) dx
Solución
Ha introducido
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1 / | | 4*tan(x) - 5 | -------------------------- dx | 2 | 1 - sin(2*x) + 4*cos (x)*x | / 0
$$\int\limits_{0}^{1} \frac{4 \tan{\left(x \right)} - 5}{x 4 \cos^{2}{\left(x \right)} + \left(1 - \sin{\left(2 x \right)}\right)}\, dx$$
Integral((4*tan(x) - 5)/(1 - sin(2*x) + (4*cos(x)^2)*x), (x, 0, 1))
Respuesta (Indefinida)
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/ / / | | | | 4*tan(x) - 5 | 1 | tan(x) | -------------------------- dx = C - 5* | -------------------------- dx + 4* | -------------------------- dx | 2 | 2 | 2 | 1 - sin(2*x) + 4*cos (x)*x | 1 - sin(2*x) + 4*cos (x)*x | 1 - sin(2*x) + 4*x*cos (x) | | | / / /
$$\int \frac{4 \tan{\left(x \right)} - 5}{x 4 \cos^{2}{\left(x \right)} + \left(1 - \sin{\left(2 x \right)}\right)}\, dx = C + 4 \int \frac{\tan{\left(x \right)}}{4 x \cos^{2}{\left(x \right)} - \sin{\left(2 x \right)} + 1}\, dx - 5 \int \frac{1}{x 4 \cos^{2}{\left(x \right)} + \left(1 - \sin{\left(2 x \right)}\right)}\, dx$$
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.