Sr Examen
Integral de e^(-10x)*(258xsinx-257xcosx-174cosx-482sinx) dx
Solución
Ha introducido
[src]
1 / | | -10*x | E *(258*x*sin(x) - 257*x*cos(x) - 174*cos(x) - 482*sin(x)) dx | / 0
$$\int\limits_{0}^{1} e^{- 10 x} \left(\left(\left(- 257 x \cos{\left(x \right)} + 258 x \sin{\left(x \right)}\right) - 174 \cos{\left(x \right)}\right) - 482 \sin{\left(x \right)}\right)\, dx$$
Integral(E^(-10*x)*((258*x)*sin(x) - 257*x*cos(x) - 174*cos(x) - 482*sin(x)), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ | / -10*x -10*x \ / -10*x -10*x\ -10*x -10*x | -10*x | 10*cos(x)*e e *sin(x)| | 10*e *sin(x) cos(x)*e | 244705*cos(x)*e 438564*e *sin(x) | E *(258*x*sin(x) - 257*x*cos(x) - 174*cos(x) - 482*sin(x)) dx = C - 257*x*|- ---------------- + -------------| + 258*x*|- ---------------- - -------------| + -------------------- + -------------------- | \ 101 101 / \ 101 101 / 10201 10201 /
$$\int e^{- 10 x} \left(\left(\left(- 257 x \cos{\left(x \right)} + 258 x \sin{\left(x \right)}\right) - 174 \cos{\left(x \right)}\right) - 482 \sin{\left(x \right)}\right)\, dx = C + 258 x \left(- \frac{10 e^{- 10 x} \sin{\left(x \right)}}{101} - \frac{e^{- 10 x} \cos{\left(x \right)}}{101}\right) - 257 x \left(\frac{e^{- 10 x} \sin{\left(x \right)}}{101} - \frac{10 e^{- 10 x} \cos{\left(x \right)}}{101}\right) + \frac{438564 e^{- 10 x} \sin{\left(x \right)}}{10201} + \frac{244705 e^{- 10 x} \cos{\left(x \right)}}{10201}$$
Gráfica
Respuesta
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-10 -10 244705 152027*e *sin(1) 478217*cos(1)*e - ------ + ------------------ + ------------------ 10201 10201 10201
$$- \frac{244705}{10201} + \frac{152027 \sin{\left(1 \right)}}{10201 e^{10}} + \frac{478217 \cos{\left(1 \right)}}{10201 e^{10}}$$
=
=
-10 -10 244705 152027*e *sin(1) 478217*cos(1)*e - ------ + ------------------ + ------------------ 10201 10201 10201
$$- \frac{244705}{10201} + \frac{152027 \sin{\left(1 \right)}}{10201 e^{10}} + \frac{478217 \cos{\left(1 \right)}}{10201 e^{10}}$$
-244705/10201 + 152027*exp(-10)*sin(1)/10201 + 478217*cos(1)*exp(-10)/10201
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.