Sr Examen
Integral de (x+2)/sqrt((x^2+7x+10)^5) dx
Solución
Ha introducido
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1 / | | x + 2 | ---------------------- dx | __________________ | / 5 | / / 2 \ | \/ \x + 7*x + 10/ | / -2
$$\int\limits_{-2}^{1} \frac{x + 2}{\sqrt{\left(\left(x^{2} + 7 x\right) + 10\right)^{5}}}\, dx$$
Integral((x + 2)/sqrt((x^2 + 7*x + 10)^5), (x, -2, 1))
Respuesta (Indefinida)
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/ / / | | | | x + 2 | 1 | x | ---------------------- dx = C + 2* | ------------------------------------------------------------------------------------------------------------------ dx + | ---------------------- dx | __________________ | _______________________________________________________________________________________________________________ | ___________________ | / 5 | / 10 9 8 7 6 5 4 3 2 | / 5 5 | / / 2 \ | \/ 100000 + x + 35*x + 540*x + 4830*x + 27705*x + 106407*x + 277050*x + 350000*x + 483000*x + 540000*x | \/ (2 + x) *(5 + x) | \/ \x + 7*x + 10/ | | | / / /
$$\int \frac{x + 2}{\sqrt{\left(\left(x^{2} + 7 x\right) + 10\right)^{5}}}\, dx = C + \int \frac{x}{\sqrt{\left(x + 2\right)^{5} \left(x + 5\right)^{5}}}\, dx + 2 \int \frac{1}{\sqrt{x^{10} + 35 x^{9} + 540 x^{8} + 4830 x^{7} + 27705 x^{6} + 106407 x^{5} + 277050 x^{4} + 483000 x^{3} + 540000 x^{2} + 350000 x + 100000}}\, dx$$
Respuesta
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1 / | | 2 + x | ---------------------- dx | ___________________ | / 5 5 | \/ (2 + x) *(5 + x) | / -2
$$\int\limits_{-2}^{1} \frac{x + 2}{\sqrt{\left(x + 2\right)^{5} \left(x + 5\right)^{5}}}\, dx$$
=
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1 / | | 2 + x | ---------------------- dx | ___________________ | / 5 5 | \/ (2 + x) *(5 + x) | / -2
$$\int\limits_{-2}^{1} \frac{x + 2}{\sqrt{\left(x + 2\right)^{5} \left(x + 5\right)^{5}}}\, dx$$
Integral((2 + x)/sqrt((2 + x)^5*(5 + x)^5), (x, -2, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.