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