Sr Examen
Integral de sqrtx/(2+sqrt4(x)) dx
Solución
Ha introducido
[src]
1 / | | ___ | \/ x | --------- dx | 0.25 | 2 + x | / 0
$$\int\limits_{0}^{1} \frac{\sqrt{x}}{x^{0.25} + 2}\, dx$$
Integral(sqrt(x)/(2 + x^0.25), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / 0.25\ / 0.25\ | 9.0 | x | 8.75 | x | | ___ 9.25 9.0 10.25 9.75 10.0 9.5 128.0*x *log|1 + -----| 256.0*x *log|1 + -----| | \/ x 32.0*x 128.0*x 0.8*x 1.33333333333333*x 0.399999999999981*x 5.3333333333334*x \ 2 / \ 2 / | --------- dx = C + -------------------- + -------------------- + -------------------- + ---------------------- - ----------------------- - -------------------- - ------------------------- - -------------------------- | 0.25 9.0 8.75 9.0 8.75 9.0 8.75 9.0 8.75 9.0 8.75 9.0 8.75 9.0 8.75 9.0 8.75 | 2 + x 1.0*x + 2.0*x 1.0*x + 2.0*x 1.0*x + 2.0*x 1.0*x + 2.0*x 1.0*x + 2.0*x 1.0*x + 2.0*x 1.0*x + 2.0*x 1.0*x + 2.0*x | /
$$\int \frac{\sqrt{x}}{x^{0.25} + 2}\, dx = C - \frac{256.0 x^{8.75} \log{\left(\frac{x^{0.25}}{2} + 1 \right)}}{2.0 x^{8.75} + 1.0 x^{9.0}} - \frac{128.0 x^{9.0} \log{\left(\frac{x^{0.25}}{2} + 1 \right)}}{2.0 x^{8.75} + 1.0 x^{9.0}} + \frac{128.0 x^{9.0}}{2.0 x^{8.75} + 1.0 x^{9.0}} + \frac{32.0 x^{9.25}}{2.0 x^{8.75} + 1.0 x^{9.0}} - \frac{5.3333333333334 x^{9.5}}{2.0 x^{8.75} + 1.0 x^{9.0}} + \frac{1.33333333333333 x^{9.75}}{2.0 x^{8.75} + 1.0 x^{9.0}} - \frac{0.399999999999981 x^{10.0}}{2.0 x^{8.75} + 1.0 x^{9.0}} + \frac{0.8 x^{10.25}}{2.0 x^{8.75} + 1.0 x^{9.0}}$$
Gráfica
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.