Sr Examen
Integral de 1/(11sin(x)^2-7) dx
Solución
Ha introducido
[src]
1 / | | 1 | -------------- dx | 2 | 11*sin (x) - 7 | / 0
$$\int\limits_{0}^{1} \frac{1}{11 \sin^{2}{\left(x \right)} - 7}\, dx$$
Integral(1/(11*sin(x)^2 - 7), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ _______________ \ / _______________ \ / _______________ \ / _______________ \ / _______________ \ / _______________ \ / _______________ \ / _______________ \
| ___ / ____ | | ___ / ____ | | ___ / ____ | | ___ / ____ | _______________ _______________ | ___ / ____ | _______________ _______________ | ___ / ____ | _______________ _______________ | ___ / ____ | _______________ _______________ | ___ / ____ |
/ ___ |\/ 7 *\/ 15 - 4*\/ 11 /x\| ____ |\/ 7 *\/ 15 - 4*\/ 11 /x\| ____ | \/ 7 *\/ 15 - 4*\/ 11 /x\| ___ | \/ 7 *\/ 15 - 4*\/ 11 /x\| ___ / ____ / ____ | \/ 7 *\/ 15 + 4*\/ 11 /x\| ____ / ____ / ____ | \/ 7 *\/ 15 + 4*\/ 11 /x\| ____ / ____ / ____ |\/ 7 *\/ 15 + 4*\/ 11 /x\| ___ / ____ / ____ |\/ 7 *\/ 15 + 4*\/ 11 /x\|
| 49357*\/ 7 *log|------------------------ + tan|-|| 14854*\/ 77 *log|------------------------ + tan|-|| 14854*\/ 77 *log|- ------------------------ + tan|-|| 49357*\/ 7 *log|- ------------------------ + tan|-|| 7051*\/ 7 *\/ 15 - 4*\/ 11 *\/ 15 + 4*\/ 11 *log|- ------------------------ + tan|-|| 2122*\/ 77 *\/ 15 - 4*\/ 11 *\/ 15 + 4*\/ 11 *log|- ------------------------ + tan|-|| 2122*\/ 77 *\/ 15 - 4*\/ 11 *\/ 15 + 4*\/ 11 *log|------------------------ + tan|-|| 7051*\/ 7 *\/ 15 - 4*\/ 11 *\/ 15 + 4*\/ 11 *log|------------------------ + tan|-||
| 1 \ 7 \2// \ 7 \2// \ 7 \2// \ 7 \2// \ 7 \2// \ 7 \2// \ 7 \2// \ 7 \2//
| -------------- dx = C - ------------------------------------------------------------- - ------------------------------------------------------------- + ------------------------------------------------------------- + ------------------------------------------------------------- - ----------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------ + ---------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------
| 2 _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________ _______________
| 11*sin (x) - 7 / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____ / ____ ____ / ____
| 1048432*\/ 15 - 4*\/ 11 + 316260*\/ 11 *\/ 15 - 4*\/ 11 1048432*\/ 15 - 4*\/ 11 + 316260*\/ 11 *\/ 15 - 4*\/ 11 1048432*\/ 15 - 4*\/ 11 + 316260*\/ 11 *\/ 15 - 4*\/ 11 1048432*\/ 15 - 4*\/ 11 + 316260*\/ 11 *\/ 15 - 4*\/ 11 1048432*\/ 15 - 4*\/ 11 + 316260*\/ 11 *\/ 15 - 4*\/ 11 1048432*\/ 15 - 4*\/ 11 + 316260*\/ 11 *\/ 15 - 4*\/ 11 1048432*\/ 15 - 4*\/ 11 + 316260*\/ 11 *\/ 15 - 4*\/ 11 1048432*\/ 15 - 4*\/ 11 + 316260*\/ 11 *\/ 15 - 4*\/ 11
/
$$\int \frac{1}{11 \sin^{2}{\left(x \right)} - 7}\, dx = C + \frac{14854 \sqrt{77} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{7} \sqrt{15 - 4 \sqrt{11}}}{7} \right)}}{1048432 \sqrt{15 - 4 \sqrt{11}} + 316260 \sqrt{11} \sqrt{15 - 4 \sqrt{11}}} + \frac{49357 \sqrt{7} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{7} \sqrt{15 - 4 \sqrt{11}}}{7} \right)}}{1048432 \sqrt{15 - 4 \sqrt{11}} + 316260 \sqrt{11} \sqrt{15 - 4 \sqrt{11}}} - \frac{49357 \sqrt{7} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{7} \sqrt{15 - 4 \sqrt{11}}}{7} \right)}}{1048432 \sqrt{15 - 4 \sqrt{11}} + 316260 \sqrt{11} \sqrt{15 - 4 \sqrt{11}}} - \frac{14854 \sqrt{77} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{7} \sqrt{15 - 4 \sqrt{11}}}{7} \right)}}{1048432 \sqrt{15 - 4 \sqrt{11}} + 316260 \sqrt{11} \sqrt{15 - 4 \sqrt{11}}} - \frac{7051 \sqrt{7} \sqrt{15 - 4 \sqrt{11}} \sqrt{4 \sqrt{11} + 15} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{7} \sqrt{4 \sqrt{11} + 15}}{7} \right)}}{1048432 \sqrt{15 - 4 \sqrt{11}} + 316260 \sqrt{11} \sqrt{15 - 4 \sqrt{11}}} - \frac{2122 \sqrt{77} \sqrt{15 - 4 \sqrt{11}} \sqrt{4 \sqrt{11} + 15} \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{7} \sqrt{4 \sqrt{11} + 15}}{7} \right)}}{1048432 \sqrt{15 - 4 \sqrt{11}} + 316260 \sqrt{11} \sqrt{15 - 4 \sqrt{11}}} + \frac{2122 \sqrt{77} \sqrt{15 - 4 \sqrt{11}} \sqrt{4 \sqrt{11} + 15} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{7} \sqrt{4 \sqrt{11} + 15}}{7} \right)}}{1048432 \sqrt{15 - 4 \sqrt{11}} + 316260 \sqrt{11} \sqrt{15 - 4 \sqrt{11}}} + \frac{7051 \sqrt{7} \sqrt{15 - 4 \sqrt{11}} \sqrt{4 \sqrt{11} + 15} \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{7} \sqrt{4 \sqrt{11} + 15}}{7} \right)}}{1048432 \sqrt{15 - 4 \sqrt{11}} + 316260 \sqrt{11} \sqrt{15 - 4 \sqrt{11}}}$$
Gráfica
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.