Sr Examen
Integral de (2x+3)/((x-2)^2(x+3)(x+7)) dx
Solución
Ha introducido
[src]
1 / | | 2*x + 3 | ------------------------ dx | 2 | (x - 2) *(x + 3)*(x + 7) | / 0
$$\int\limits_{0}^{1} \frac{2 x + 3}{\left(x - 2\right)^{2} \left(x + 3\right) \left(x + 7\right)}\, dx$$
Integral((2*x + 3)/((((x - 2)^2*(x + 3))*(x + 7))), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | 2*x + 3 8*log(-2 + x) 7 3*log(3 + x) 11*log(7 + x) | ------------------------ dx = C - ------------- - ----------- - ------------ + ------------- | 2 2025 45*(-2 + x) 100 324 | (x - 2) *(x + 3)*(x + 7) | /
$$\int \frac{2 x + 3}{\left(x - 2\right)^{2} \left(x + 3\right) \left(x + 7\right)}\, dx = C - \frac{8 \log{\left(x - 2 \right)}}{2025} - \frac{3 \log{\left(x + 3 \right)}}{100} + \frac{11 \log{\left(x + 7 \right)}}{324} - \frac{7}{45 \left(x - 2\right)}$$
Gráfica
Respuesta
[src]
7 11*log(7) 3*log(4) 3*log(3) 8*log(2) 11*log(8) -- - --------- - -------- + -------- + -------- + --------- 90 324 100 100 2025 324
$$- \frac{11 \log{\left(7 \right)}}{324} - \frac{3 \log{\left(4 \right)}}{100} + \frac{8 \log{\left(2 \right)}}{2025} + \frac{3 \log{\left(3 \right)}}{100} + \frac{11 \log{\left(8 \right)}}{324} + \frac{7}{90}$$
=
=
7 11*log(7) 3*log(4) 3*log(3) 8*log(2) 11*log(8) -- - --------- - -------- + -------- + -------- + --------- 90 324 100 100 2025 324
$$- \frac{11 \log{\left(7 \right)}}{324} - \frac{3 \log{\left(4 \right)}}{100} + \frac{8 \log{\left(2 \right)}}{2025} + \frac{3 \log{\left(3 \right)}}{100} + \frac{11 \log{\left(8 \right)}}{324} + \frac{7}{90}$$
7/90 - 11*log(7)/324 - 3*log(4)/100 + 3*log(3)/100 + 8*log(2)/2025 + 11*log(8)/324
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.