Sr Examen
Integral de lg(x^2+3,5) dx
Solución
Ha introducido
[src]
6 / | | / 2 7\ | log|x + -| dx | \ 2/ | / 2
$$\int\limits_{2}^{6} \log{\left(x^{2} + \frac{7}{2} \right)}\, dx$$
Integral(log(x^2 + 7/2), (x, 2, 6))
Respuesta (Indefinida)
[src]
/ | / ____\ | / 2 7\ / 2 7\ ____ |x*\/ 14 | | log|x + -| dx = C - 2*x + x*log|x + -| + \/ 14 *atan|--------| | \ 2/ \ 2/ \ 7 / | /
$$\int \log{\left(x^{2} + \frac{7}{2} \right)}\, dx = C + x \log{\left(x^{2} + \frac{7}{2} \right)} - 2 x + \sqrt{14} \operatorname{atan}{\left(\frac{\sqrt{14} x}{7} \right)}$$
Gráfica
Respuesta
[src]
/ ____\ / ____\
____ |6*\/ 14 | ____ |2*\/ 14 |
-8 - 2*log(15/2) + 6*log(79/2) + \/ 14 *atan|--------| - \/ 14 *atan|--------|
\ 7 / \ 7 /
$$-8 - 2 \log{\left(\frac{15}{2} \right)} - \sqrt{14} \operatorname{atan}{\left(\frac{2 \sqrt{14}}{7} \right)} + \sqrt{14} \operatorname{atan}{\left(\frac{6 \sqrt{14}}{7} \right)} + 6 \log{\left(\frac{79}{2} \right)}$$
=
=
/ ____\ / ____\
____ |6*\/ 14 | ____ |2*\/ 14 |
-8 - 2*log(15/2) + 6*log(79/2) + \/ 14 *atan|--------| - \/ 14 *atan|--------|
\ 7 / \ 7 /
$$-8 - 2 \log{\left(\frac{15}{2} \right)} - \sqrt{14} \operatorname{atan}{\left(\frac{2 \sqrt{14}}{7} \right)} + \sqrt{14} \operatorname{atan}{\left(\frac{6 \sqrt{14}}{7} \right)} + 6 \log{\left(\frac{79}{2} \right)}$$
-8 - 2*log(15/2) + 6*log(79/2) + sqrt(14)*atan(6*sqrt(14)/7) - sqrt(14)*atan(2*sqrt(14)/7)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.