Sr Examen
Integral de 1/(sin(5x-6))^2 dx
Solución
Ha introducido
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1 / | | 1 | ------------- dx | 2 | sin (5*x - 6) | / 0
$$\int\limits_{0}^{1} \frac{1}{\sin^{2}{\left(5 x - 6 \right)}}\, dx$$
Integral(1/(sin(5*x - 6)^2), (x, 0, 1))
Respuesta (Indefinida)
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/ / 5*x\ | tan|-3 + ---| | 1 1 \ 2 / | ------------- dx = C - ---------------- + ------------- | 2 / 5*x\ 10 | sin (5*x - 6) 10*tan|-3 + ---| | \ 2 / /
$$\int \frac{1}{\sin^{2}{\left(5 x - 6 \right)}}\, dx = C + \frac{\tan{\left(\frac{5 x}{2} - 3 \right)}}{10} - \frac{1}{10 \tan{\left(\frac{5 x}{2} - 3 \right)}}$$
Gráfica
Respuesta
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1 tan(1/2) 1 tan(3) - --------- - -------- + ----------- + ------ 10*tan(3) 10 10*tan(1/2) 10
$$- \frac{\tan{\left(\frac{1}{2} \right)}}{10} + \frac{\tan{\left(3 \right)}}{10} + \frac{1}{10 \tan{\left(\frac{1}{2} \right)}} - \frac{1}{10 \tan{\left(3 \right)}}$$
=
=
1 tan(1/2) 1 tan(3) - --------- - -------- + ----------- + ------ 10*tan(3) 10 10*tan(1/2) 10
$$- \frac{\tan{\left(\frac{1}{2} \right)}}{10} + \frac{\tan{\left(3 \right)}}{10} + \frac{1}{10 \tan{\left(\frac{1}{2} \right)}} - \frac{1}{10 \tan{\left(3 \right)}}$$
-1/(10*tan(3)) - tan(1/2)/10 + 1/(10*tan(1/2)) + tan(3)/10
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.