Sr Examen
Integral de ((3*u^3*sin(u^3)*3x+3*log(u,5)*((u)3x))/(3u*(4x)))*dx dx
Solución
Ha introducido
[src]
1 / | | 3 / 3\ log(u) | 3*u *sin\u /*3*x + 3*------*u*3*x | log(5) | --------------------------------- dx | 3*u*4*x | / 0
$$\int\limits_{0}^{1} \frac{x 3 \cdot 3 u^{3} \sin{\left(u^{3} \right)} + x 3 u 3 \frac{\log{\left(u \right)}}{\log{\left(5 \right)}}}{3 u 4 x}\, dx$$
Integral(((((3*u^3)*sin(u^3))*3)*x + (3*(log(u)/log(5)))*((u*3)*x))/(((3*u)*(4*x))), (x, 0, 1))
Respuesta (Indefinida)
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/ | | 3 / 3\ log(u) // / 2 / 3\ \ \ | 3*u *sin\u /*3*x + 3*------*u*3*x ||3*x*\u *log(5)*sin\u / + log(u)/ | | log(5) ||-------------------------------- for u != 0| | --------------------------------- dx = C + |< 4*log(5) | | 3*u*4*x || | | || nan otherwise | / \\ /
$$\int \frac{x 3 \cdot 3 u^{3} \sin{\left(u^{3} \right)} + x 3 u 3 \frac{\log{\left(u \right)}}{\log{\left(5 \right)}}}{3 u 4 x}\, dx = C + \begin{cases} \frac{3 x \left(u^{2} \log{\left(5 \right)} \sin{\left(u^{3} \right)} + \log{\left(u \right)}\right)}{4 \log{\left(5 \right)}} & \text{for}\: u \neq 0 \\\text{NaN} & \text{otherwise} \end{cases}$$
Respuesta
[src]
2 / 3\
3*u *sin\u / 3*log(u)
------------ + --------
4 4*log(5)
$$\frac{3 u^{2} \sin{\left(u^{3} \right)}}{4} + \frac{3 \log{\left(u \right)}}{4 \log{\left(5 \right)}}$$
=
=
2 / 3\
3*u *sin\u / 3*log(u)
------------ + --------
4 4*log(5)
$$\frac{3 u^{2} \sin{\left(u^{3} \right)}}{4} + \frac{3 \log{\left(u \right)}}{4 \log{\left(5 \right)}}$$
3*u^2*sin(u^3)/4 + 3*log(u)/(4*log(5))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.