Sr Examen
Integral de 8-x^2/((3-x)(x^2-6x+10)) dx
Solución
Ha introducido
[src]
1 / | | / 2 \ | | x | | |8 - -----------------------| dx | | / 2 \| | \ (3 - x)*\x - 6*x + 10// | / 0
$$\int\limits_{0}^{1} \left(- \frac{x^{2}}{\left(3 - x\right) \left(\left(x^{2} - 6 x\right) + 10\right)} + 8\right)\, dx$$
Integral(8 - x^2/((3 - x)*(x^2 - 6*x + 10)), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | | / 2 \ | | x | / 2 \ | |8 - -----------------------| dx = C - 4*log\10 + x - 6*x/ + 6*atan(-3 + x) + 8*x + 9*log(-3 + x) | | / 2 \| | \ (3 - x)*\x - 6*x + 10// | /
$$\int \left(- \frac{x^{2}}{\left(3 - x\right) \left(\left(x^{2} - 6 x\right) + 10\right)} + 8\right)\, dx = C + 8 x + 9 \log{\left(x - 3 \right)} - 4 \log{\left(x^{2} - 6 x + 10 \right)} + 6 \operatorname{atan}{\left(x - 3 \right)}$$
Gráfica
Respuesta
[src]
8 - 9*log(3) - 6*atan(2) - 4*log(5) + 4*log(10) + 6*atan(3) + 9*log(2)
$$- 9 \log{\left(3 \right)} - 6 \operatorname{atan}{\left(2 \right)} - 4 \log{\left(5 \right)} + 9 \log{\left(2 \right)} + 6 \operatorname{atan}{\left(3 \right)} + 8 + 4 \log{\left(10 \right)}$$
=
=
8 - 9*log(3) - 6*atan(2) - 4*log(5) + 4*log(10) + 6*atan(3) + 9*log(2)
$$- 9 \log{\left(3 \right)} - 6 \operatorname{atan}{\left(2 \right)} - 4 \log{\left(5 \right)} + 9 \log{\left(2 \right)} + 6 \operatorname{atan}{\left(3 \right)} + 8 + 4 \log{\left(10 \right)}$$
8 - 9*log(3) - 6*atan(2) - 4*log(5) + 4*log(10) + 6*atan(3) + 9*log(2)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.