Sr Examen
Integral de sin(x)*(cos(x))^x dx
Solución
Ha introducido
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3*pi ---- 4 / | | x | sin(x)*cos (x) dx | / pi -- 4
$$\int\limits_{\frac{\pi}{4}}^{\frac{3 \pi}{4}} \sin{\left(x \right)} \cos^{x}{\left(x \right)}\, dx$$
Integral(sin(x)*cos(x)^x, (x, pi/4, 3*pi/4))
Respuesta (Indefinida)
[src]
/ / | | | x | x | sin(x)*cos (x) dx = C + | cos (x)*sin(x) dx | | / /
$$\int \sin{\left(x \right)} \cos^{x}{\left(x \right)}\, dx = C + \int \sin{\left(x \right)} \cos^{x}{\left(x \right)}\, dx$$
Respuesta
[src]
3*pi ---- 4 / | | x | cos (x)*sin(x) dx | / pi -- 4
$$\int\limits_{\frac{\pi}{4}}^{\frac{3 \pi}{4}} \sin{\left(x \right)} \cos^{x}{\left(x \right)}\, dx$$
=
=
3*pi ---- 4 / | | x | cos (x)*sin(x) dx | / pi -- 4
$$\int\limits_{\frac{\pi}{4}}^{\frac{3 \pi}{4}} \sin{\left(x \right)} \cos^{x}{\left(x \right)}\, dx$$
Integral(cos(x)^x*sin(x), (x, pi/4, 3*pi/4))
Respuesta numérica
[src]
(0.314833228075543 + 0.0366862281078752j)
(0.314833228075543 + 0.0366862281078752j)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.