Sr Examen
Integral de 1/(15+th(x)*7) dx
Solución
Ha introducido
[src]
1 / | | 1 | -------------- dx | 15 + tanh(x)*7 | / 0
$$\int\limits_{0}^{1} \frac{1}{7 \tanh{\left(x \right)} + 15}\, dx$$
Integral(1/(15 + tanh(x)*7), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | 1 7*log(15/7 + tanh(x)) x 7*log(1 + tanh(x)) | -------------- dx = C - --------------------- + -- + ------------------ | 15 + tanh(x)*7 176 22 176 | /
$$\int \frac{1}{7 \tanh{\left(x \right)} + 15}\, dx = C + \frac{x}{22} + \frac{7 \log{\left(\tanh{\left(x \right)} + 1 \right)}}{176} - \frac{7 \log{\left(\tanh{\left(x \right)} + \frac{15}{7} \right)}}{176}$$
Gráfica
Respuesta
[src]
1 7*log(15/7 + tanh(1)) 7*log(15/7) 7*log(1 + tanh(1)) -- - --------------------- + ----------- + ------------------ 22 176 176 176
$$- \frac{7 \log{\left(\tanh{\left(1 \right)} + \frac{15}{7} \right)}}{176} + \frac{7 \log{\left(\tanh{\left(1 \right)} + 1 \right)}}{176} + \frac{7 \log{\left(\frac{15}{7} \right)}}{176} + \frac{1}{22}$$
=
=
1 7*log(15/7 + tanh(1)) 7*log(15/7) 7*log(1 + tanh(1)) -- - --------------------- + ----------- + ------------------ 22 176 176 176
$$- \frac{7 \log{\left(\tanh{\left(1 \right)} + \frac{15}{7} \right)}}{176} + \frac{7 \log{\left(\tanh{\left(1 \right)} + 1 \right)}}{176} + \frac{7 \log{\left(\frac{15}{7} \right)}}{176} + \frac{1}{22}$$
1/22 - 7*log(15/7 + tanh(1))/176 + 7*log(15/7)/176 + 7*log(1 + tanh(1))/176
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.