Sr Examen
Integral de (11x-x^0.5)^15 dx
Solución
Ha introducido
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1 / | | 15 | / ___\ | \11*x - \/ x / dx | / 0
$$\int\limits_{0}^{1} \left(- \sqrt{x} + 11 x\right)^{15}\, dx$$
Integral((11*x - sqrt(x))^15, (x, 0, 1))
Respuesta (Indefinida)
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/ | | 15 31/2 29/2 27/2 25/2 23/2 19/2 17/2 9 10 12 14 16 | / ___\ 21/2 11 13 15 11392495007497230*x 2855969822816110*x 51926724051202*x 551759759694*x 17733325610*x 25410*x 2*x 55*x 121121*x 41799981795*x 55635775769145*x 4177248169415651*x | \11*x - \/ x / dx = C - 1903330*x + 43966923*x + 907809861035*x + 241658985007517*x - ----------------------- - ---------------------- - -------------------- - ------------------ - ----------------- - ----------- - ------- + ----- + ---------- + --------------- + ------------------ + -------------------- | 31 29 9 5 23 19 17 3 2 4 2 16 /
$$\int \left(- \sqrt{x} + 11 x\right)^{15}\, dx = C - \frac{11392495007497230 x^{\frac{31}{2}}}{31} - \frac{2855969822816110 x^{\frac{29}{2}}}{29} - \frac{51926724051202 x^{\frac{27}{2}}}{9} - \frac{551759759694 x^{\frac{25}{2}}}{5} - \frac{17733325610 x^{\frac{23}{2}}}{23} - 1903330 x^{\frac{21}{2}} - \frac{25410 x^{\frac{19}{2}}}{19} - \frac{2 x^{\frac{17}{2}}}{17} + \frac{4177248169415651 x^{16}}{16} + 241658985007517 x^{15} + \frac{55635775769145 x^{14}}{2} + 907809861035 x^{13} + \frac{41799981795 x^{12}}{4} + 43966923 x^{11} + \frac{121121 x^{10}}{2} + \frac{55 x^{9}}{3}$$
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.