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