Sr Examen
Integral de X/(x^2+7)^2+x*sin(7x) dx
Solución
Ha introducido
[src]
1 / | | / x \ | |--------- + x*sin(7*x)| dx | | 2 | | |/ 2 \ | | \\x + 7/ / | / 0
$$\int\limits_{0}^{1} \left(x \sin{\left(7 x \right)} + \frac{x}{\left(x^{2} + 7\right)^{2}}\right)\, dx$$
Integral(x/(x^2 + 7)^2 + x*sin(7*x), (x, 0, 1))
Respuesta (Indefinida)
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/ | | / x \ 1 sin(7*x) x*cos(7*x) | |--------- + x*sin(7*x)| dx = C - ---------- + -------- - ---------- | | 2 | / 2\ 49 7 | |/ 2 \ | 2*\7 + x / | \\x + 7/ / | /
$$\int \left(x \sin{\left(7 x \right)} + \frac{x}{\left(x^{2} + 7\right)^{2}}\right)\, dx = C - \frac{x \cos{\left(7 x \right)}}{7} + \frac{\sin{\left(7 x \right)}}{49} - \frac{1}{2 \left(x^{2} + 7\right)}$$
Gráfica
Respuesta
[src]
1 cos(7) sin(7) --- - ------ + ------ 112 7 49
$$- \frac{\cos{\left(7 \right)}}{7} + \frac{1}{112} + \frac{\sin{\left(7 \right)}}{49}$$
=
=
1 cos(7) sin(7) --- - ------ + ------ 112 7 49
$$- \frac{\cos{\left(7 \right)}}{7} + \frac{1}{112} + \frac{\sin{\left(7 \right)}}{49}$$
1/112 - cos(7)/7 + sin(7)/49
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.