Sr Examen
Resolución de integrales/
sqrt(20*a^2*x^2-5*sqrt(5)*a*x^3-80*sqrt(5)*a^3+100*a^2*x+400*a^4-100*sqrt(5)*a^3*x)
Integral de sqrt(20*a^2*x^2-5*sqrt(5)*a*x^3-80*sqrt(5)*a^3+100*a^2*x+400*a^4-100*sqrt(5)*a^3*x) dx
Solución
Ha introducido
[src]
9 / | | ____________________________________________________________________________ | / 2 2 ___ 3 ___ 3 2 4 ___ 3 | \/ 20*a *x - 5*\/ 5 *a*x - 80*\/ 5 *a + 100*a *x + 400*a - 100*\/ 5 *a *x dx | / 0
$$\int\limits_{0}^{9} \sqrt{- x 100 \sqrt{5} a^{3} + \left(400 a^{4} + \left(100 a^{2} x + \left(- 80 \sqrt{5} a^{3} + \left(20 a^{2} x^{2} - x^{3} \cdot 5 \sqrt{5} a\right)\right)\right)\right)}\, dx$$
Integral(sqrt((20*a^2)*x^2 - (5*sqrt(5))*a*x^3 - 80*sqrt(5)*a^3 + (100*a^2)*x + 400*a^4 - (100*sqrt(5))*a^3*x), (x, 0, 9))
Respuesta (Indefinida)
[src]
/ / | | | ____________________________________________________________________________ | ______________________________________________________________________ | / 2 2 ___ 3 ___ 3 2 4 ___ 3 ___ | / 4 ___ 3 2 2 2 ___ 3 ___ 3 | \/ 20*a *x - 5*\/ 5 *a*x - 80*\/ 5 *a + 100*a *x + 400*a - 100*\/ 5 *a *x dx = C + \/ 5 * | \/ 80*a - 16*\/ 5 *a + 4*a *x + 20*x*a - a*\/ 5 *x - 20*x*\/ 5 *a dx | | / /
$$\int \sqrt{- x 100 \sqrt{5} a^{3} + \left(400 a^{4} + \left(100 a^{2} x + \left(- 80 \sqrt{5} a^{3} + \left(20 a^{2} x^{2} - x^{3} \cdot 5 \sqrt{5} a\right)\right)\right)\right)}\, dx = C + \sqrt{5} \int \sqrt{80 a^{4} - 20 \sqrt{5} a^{3} x - 16 \sqrt{5} a^{3} + 4 a^{2} x^{2} + 20 a^{2} x - \sqrt{5} a x^{3}}\, dx$$
Respuesta
[src]
9
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| ______________________________________________________________________
___ | / 4 ___ 3 2 2 2 ___ 3 ___ 3
\/ 5 * | \/ 80*a - 16*\/ 5 *a + 4*a *x + 20*x*a - a*\/ 5 *x - 20*x*\/ 5 *a dx
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/
0
$$\sqrt{5} \int\limits_{0}^{9} \sqrt{80 a^{4} - 20 \sqrt{5} a^{3} x - 16 \sqrt{5} a^{3} + 4 a^{2} x^{2} + 20 a^{2} x - \sqrt{5} a x^{3}}\, dx$$
=
=
9
/
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| ______________________________________________________________________
___ | / 4 ___ 3 2 2 2 ___ 3 ___ 3
\/ 5 * | \/ 80*a - 16*\/ 5 *a + 4*a *x + 20*x*a - a*\/ 5 *x - 20*x*\/ 5 *a dx
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/
0
$$\sqrt{5} \int\limits_{0}^{9} \sqrt{80 a^{4} - 20 \sqrt{5} a^{3} x - 16 \sqrt{5} a^{3} + 4 a^{2} x^{2} + 20 a^{2} x - \sqrt{5} a x^{3}}\, dx$$
sqrt(5)*Integral(sqrt(80*a^4 - 16*sqrt(5)*a^3 + 4*a^2*x^2 + 20*x*a^2 - a*sqrt(5)*x^3 - 20*x*sqrt(5)*a^3), (x, 0, 9))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.