Sr Examen
Integral de 1/((3x-1)*(ln(n-2)))^1/2 dx
Solución
Ha introducido
[src]
1 / | | 1 | ------------------------ dx | ______________________ | \/ (3*x - 1)*log(n - 2) | / 0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{\left(3 x - 1\right) \log{\left(n - 2 \right)}}}\, dx$$
Integral(1/(sqrt((3*x - 1)*log(n - 2))), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ // ________________________________ \ | ||2*\/ -log(-2 + n) + 3*x*log(-2 + n) | | 1 ||------------------------------------ for log(-2 + n) != 0| | ------------------------ dx = C + |< 3*log(-2 + n) | | ______________________ || | | \/ (3*x - 1)*log(n - 2) || zoo*x otherwise | | \\ / /
$$\int \frac{1}{\sqrt{\left(3 x - 1\right) \log{\left(n - 2 \right)}}}\, dx = C + \begin{cases} \frac{2 \sqrt{3 x \log{\left(n - 2 \right)} - \log{\left(n - 2 \right)}}}{3 \log{\left(n - 2 \right)}} & \text{for}\: \log{\left(n - 2 \right)} \neq 0 \\\tilde{\infty} x & \text{otherwise} \end{cases}$$
Respuesta
[src]
___
2*I 2*\/ 2
- ----------------- + -----------------
_____________ _____________
3*\/ log(-2 + n) 3*\/ log(-2 + n)
$$\frac{2 \sqrt{2}}{3 \sqrt{\log{\left(n - 2 \right)}}} - \frac{2 i}{3 \sqrt{\log{\left(n - 2 \right)}}}$$
=
=
___
2*I 2*\/ 2
- ----------------- + -----------------
_____________ _____________
3*\/ log(-2 + n) 3*\/ log(-2 + n)
$$\frac{2 \sqrt{2}}{3 \sqrt{\log{\left(n - 2 \right)}}} - \frac{2 i}{3 \sqrt{\log{\left(n - 2 \right)}}}$$
-2*i/(3*sqrt(log(-2 + n))) + 2*sqrt(2)/(3*sqrt(log(-2 + n)))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.