Sr Examen
Integral de cosec^22xcot2xdx dx
Solución
Ha introducido
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1 / | | 22 | csc (x)*cot(2*x) dx | / 0
$$\int\limits_{0}^{1} \cot{\left(2 x \right)} \csc^{22}{\left(x \right)}\, dx$$
Integral(csc(x)^22*cot(2*x), (x, 0, 1))
Respuesta (Indefinida)
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/ | 2 / 2 \ 4 6 8 10 12 14 16 18 20 | 22 1 csc (x) log\-1 + csc (x)/ csc (x) csc (x) csc (x) csc (x) csc (x) csc (x) csc (x) csc (x) csc (x) | csc (x)*cot(2*x) dx = C - ----------- + ------- + ----------------- + ------- + ------- + ------- + -------- + -------- + -------- + -------- + -------- + -------- | 22 4 4 8 12 16 20 24 28 32 36 40 / 44*sin (x)
$$\int \cot{\left(2 x \right)} \csc^{22}{\left(x \right)}\, dx = C + \frac{\log{\left(\csc^{2}{\left(x \right)} - 1 \right)}}{4} + \frac{\csc^{20}{\left(x \right)}}{40} + \frac{\csc^{18}{\left(x \right)}}{36} + \frac{\csc^{16}{\left(x \right)}}{32} + \frac{\csc^{14}{\left(x \right)}}{28} + \frac{\csc^{12}{\left(x \right)}}{24} + \frac{\csc^{10}{\left(x \right)}}{20} + \frac{\csc^{8}{\left(x \right)}}{16} + \frac{\csc^{6}{\left(x \right)}}{12} + \frac{\csc^{4}{\left(x \right)}}{8} + \frac{\csc^{2}{\left(x \right)}}{4} - \frac{1}{44 \sin^{22}{\left(x \right)}}$$
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.