Sr Examen
Integral de (2^x)dx/(4^x+9) dx
Solución
Ha introducido
[src]
1 / | | x | 2 | ------ dx | x | 4 + 9 | / 0
$$\int\limits_{0}^{1} \frac{2^{x}}{4^{x} + 9}\, dx$$
Integral(2^x/(4^x + 9), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / x\ | |2 | | x atan|--| | 2 \3 / | ------ dx = C + -------- | x 3*log(2) | 4 + 9 | /
$$\int \frac{2^{x}}{4^{x} + 9}\, dx = C + \frac{\operatorname{atan}{\left(\frac{2^{x}}{3} \right)}}{3 \log{\left(2 \right)}}$$
Gráfica
Respuesta
[src]
/ 2 \ / 2 \
RootSum\36*z + 1, i -> i*log(2 + 18*i)/ RootSum\36*z + 1, i -> i*log(1 + 18*i)/
---------------------------------------- - ----------------------------------------
log(2) log(2)
$$- \frac{\operatorname{RootSum} {\left(36 z^{2} + 1, \left( i \mapsto i \log{\left(18 i + 1 \right)} \right)\right)}}{\log{\left(2 \right)}} + \frac{\operatorname{RootSum} {\left(36 z^{2} + 1, \left( i \mapsto i \log{\left(18 i + 2 \right)} \right)\right)}}{\log{\left(2 \right)}}$$
=
=
/ 2 \ / 2 \
RootSum\36*z + 1, i -> i*log(2 + 18*i)/ RootSum\36*z + 1, i -> i*log(1 + 18*i)/
---------------------------------------- - ----------------------------------------
log(2) log(2)
$$- \frac{\operatorname{RootSum} {\left(36 z^{2} + 1, \left( i \mapsto i \log{\left(18 i + 1 \right)} \right)\right)}}{\log{\left(2 \right)}} + \frac{\operatorname{RootSum} {\left(36 z^{2} + 1, \left( i \mapsto i \log{\left(18 i + 2 \right)} \right)\right)}}{\log{\left(2 \right)}}$$
RootSum(36*_z^2 + 1, Lambda(_i, _i*log(2 + 18*_i)))/log(2) - RootSum(36*_z^2 + 1, Lambda(_i, _i*log(1 + 18*_i)))/log(2)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.