Sr Examen
Integral de 1/((4-3ctgx)sin^2x) dx
Solución
Ha introducido
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1 / | | 1 | ---------------------- dx | 2 | (4 - 3*cot(x))*sin (x) | / 0
$$\int\limits_{0}^{1} \frac{1}{\left(4 - 3 \cot{\left(x \right)}\right) \sin^{2}{\left(x \right)}}\, dx$$
Integral(1/((4 - 3*cot(x))*sin(x)^2), (x, 0, 1))
Respuesta (Indefinida)
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/ / | | | 1 | 1 | ---------------------- dx = C - | ----------------------- dx | 2 | 2 | (4 - 3*cot(x))*sin (x) | (-4 + 3*cot(x))*sin (x) | | / /
$$\int \frac{1}{\left(4 - 3 \cot{\left(x \right)}\right) \sin^{2}{\left(x \right)}}\, dx = C - \int \frac{1}{\left(3 \cot{\left(x \right)} - 4\right) \sin^{2}{\left(x \right)}}\, dx$$
Respuesta
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1 / | | 1 - | ------------------------------ dx | 2 2 | - 4*sin (x) + 3*sin (x)*cot(x) | / 0
$$- \int\limits_{0}^{1} \frac{1}{3 \sin^{2}{\left(x \right)} \cot{\left(x \right)} - 4 \sin^{2}{\left(x \right)}}\, dx$$
=
=
1 / | | 1 - | ------------------------------ dx | 2 2 | - 4*sin (x) + 3*sin (x)*cot(x) | / 0
$$- \int\limits_{0}^{1} \frac{1}{3 \sin^{2}{\left(x \right)} \cot{\left(x \right)} - 4 \sin^{2}{\left(x \right)}}\, dx$$
-Integral(1/(-4*sin(x)^2 + 3*sin(x)^2*cot(x)), (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.