Sr Examen
Integral de dx/(5tanx+2) dx
Solución
Ha introducido
[src]
1 / | | 1 | ------------ dx | 5*tan(x) + 2 | / 0
$$\int\limits_{0}^{1} \frac{1}{5 \tan{\left(x \right)} + 2}\, dx$$
Integral(1/(5*tan(x) + 2), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | / 2 \ | 1 5*log\1 + tan (x)/ 2*x 5*log(2/5 + tan(x)) | ------------ dx = C - ------------------ + --- + ------------------- | 5*tan(x) + 2 58 29 29 | /
$$\int \frac{1}{5 \tan{\left(x \right)} + 2}\, dx = C + \frac{2 x}{29} + \frac{5 \log{\left(\tan{\left(x \right)} + \frac{2}{5} \right)}}{29} - \frac{5 \log{\left(\tan^{2}{\left(x \right)} + 1 \right)}}{58}$$
Gráfica
Respuesta
[src]
/ 2 \ 2 5*log(2/5) 5*log\1 + tan (1)/ 5*log(2/5 + tan(1)) -- - ---------- - ------------------ + ------------------- 29 29 58 29
$$- \frac{5 \log{\left(1 + \tan^{2}{\left(1 \right)} \right)}}{58} + \frac{2}{29} + \frac{5 \log{\left(\frac{2}{5} + \tan{\left(1 \right)} \right)}}{29} - \frac{5 \log{\left(\frac{2}{5} \right)}}{29}$$
=
=
/ 2 \ 2 5*log(2/5) 5*log\1 + tan (1)/ 5*log(2/5 + tan(1)) -- - ---------- - ------------------ + ------------------- 29 29 58 29
$$- \frac{5 \log{\left(1 + \tan^{2}{\left(1 \right)} \right)}}{58} + \frac{2}{29} + \frac{5 \log{\left(\frac{2}{5} + \tan{\left(1 \right)} \right)}}{29} - \frac{5 \log{\left(\frac{2}{5} \right)}}{29}$$
2/29 - 5*log(2/5)/29 - 5*log(1 + tan(1)^2)/58 + 5*log(2/5 + tan(1))/29
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.