Sr Examen
Integral de x^9*cos(10x) dx
Solución
Ha introducido
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2 / | | 9 | x *cos(10*x) dx | / -2
$$\int\limits_{-2}^{2} x^{9} \cos{\left(10 x \right)}\, dx$$
Integral(x^9*cos(10*x), (x, -2, 2))
Respuesta (Indefinida)
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/ | 2 3 6 7 9 8 5 4 | 9 567*cos(10*x) 567*x *cos(10*x) 189*x *sin(10*x) 63*x *cos(10*x) 9*x *sin(10*x) x *sin(10*x) 9*x *cos(10*x) 189*x *sin(10*x) 189*x *cos(10*x) 567*x*sin(10*x) | x *cos(10*x) dx = C + ------------- - ---------------- - ---------------- - --------------- - -------------- + ------------ + -------------- + ---------------- + ---------------- + --------------- | 15625000 312500 31250 1250 125 10 100 6250 12500 1562500 /
$$\int x^{9} \cos{\left(10 x \right)}\, dx = C + \frac{x^{9} \sin{\left(10 x \right)}}{10} + \frac{9 x^{8} \cos{\left(10 x \right)}}{100} - \frac{9 x^{7} \sin{\left(10 x \right)}}{125} - \frac{63 x^{6} \cos{\left(10 x \right)}}{1250} + \frac{189 x^{5} \sin{\left(10 x \right)}}{6250} + \frac{189 x^{4} \cos{\left(10 x \right)}}{12500} - \frac{189 x^{3} \sin{\left(10 x \right)}}{31250} - \frac{567 x^{2} \cos{\left(10 x \right)}}{312500} + \frac{567 x \sin{\left(10 x \right)}}{1562500} + \frac{567 \cos{\left(10 x \right)}}{15625000}$$
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.