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