Sr Examen
Integral de sin(7*x)*cos(2*x)^2dx dx
Solución
Ha introducido
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1 / | | 2 | sin(7*x)*cos (2*x) dx | / 0
$$\int\limits_{0}^{1} \sin{\left(7 x \right)} \cos^{2}{\left(2 x \right)}\, dx$$
Integral(sin(7*x)*cos(2*x)^2, (x, 0, 1))
Respuesta (Indefinida)
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/ | 7 11 3 | 2 5 9 480*cos (x) 256*cos (x) 28*cos (x) | sin(7*x)*cos (2*x) dx = C + 36*cos (x) + 64*cos (x) - ----------- - ------------ - ---------- + cos(x) | 7 11 3 /
$$\int \sin{\left(7 x \right)} \cos^{2}{\left(2 x \right)}\, dx = C - \frac{256 \cos^{11}{\left(x \right)}}{11} + 64 \cos^{9}{\left(x \right)} - \frac{480 \cos^{7}{\left(x \right)}}{7} + 36 \cos^{5}{\left(x \right)} - \frac{28 \cos^{3}{\left(x \right)}}{3} + \cos{\left(x \right)}$$
Gráfica
Respuesta
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2 2 41 41*cos (2)*cos(7) 8*sin (2)*cos(7) 4*cos(2)*sin(2)*sin(7) --- - ----------------- + ---------------- - ---------------------- 231 231 231 33
$$- \frac{41 \cos^{2}{\left(2 \right)} \cos{\left(7 \right)}}{231} + \frac{8 \sin^{2}{\left(2 \right)} \cos{\left(7 \right)}}{231} - \frac{4 \sin{\left(2 \right)} \sin{\left(7 \right)} \cos{\left(2 \right)}}{33} + \frac{41}{231}$$
=
=
2 2 41 41*cos (2)*cos(7) 8*sin (2)*cos(7) 4*cos(2)*sin(2)*sin(7) --- - ----------------- + ---------------- - ---------------------- 231 231 231 33
$$- \frac{41 \cos^{2}{\left(2 \right)} \cos{\left(7 \right)}}{231} + \frac{8 \sin^{2}{\left(2 \right)} \cos{\left(7 \right)}}{231} - \frac{4 \sin{\left(2 \right)} \sin{\left(7 \right)} \cos{\left(2 \right)}}{33} + \frac{41}{231}$$
41/231 - 41*cos(2)^2*cos(7)/231 + 8*sin(2)^2*cos(7)/231 - 4*cos(2)*sin(2)*sin(7)/33
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.