Sr Examen
Integral de dx/sin2(3x-4) dx
Solución
Ha introducido
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1 / | | 1 | ------------- dx | 2 | sin (3*x - 4) | / 0
$$\int\limits_{0}^{1} \frac{1}{\sin^{2}{\left(3 x - 4 \right)}}\, dx$$
Integral(1/(sin(3*x - 4)^2), (x, 0, 1))
Respuesta (Indefinida)
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/ / 3*x\ | tan|-2 + ---| | 1 1 \ 2 / | ------------- dx = C - --------------- + ------------- | 2 / 3*x\ 6 | sin (3*x - 4) 6*tan|-2 + ---| | \ 2 / /
$$\int \frac{1}{\sin^{2}{\left(3 x - 4 \right)}}\, dx = C + \frac{\tan{\left(\frac{3 x}{2} - 2 \right)}}{6} - \frac{1}{6 \tan{\left(\frac{3 x}{2} - 2 \right)}}$$
Gráfica
Respuesta
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1 tan(1/2) 1 tan(2) - -------- - -------- + ---------- + ------ 6*tan(2) 6 6*tan(1/2) 6
$$\frac{\tan{\left(2 \right)}}{6} - \frac{\tan{\left(\frac{1}{2} \right)}}{6} - \frac{1}{6 \tan{\left(2 \right)}} + \frac{1}{6 \tan{\left(\frac{1}{2} \right)}}$$
=
=
1 tan(1/2) 1 tan(2) - -------- - -------- + ---------- + ------ 6*tan(2) 6 6*tan(1/2) 6
$$\frac{\tan{\left(2 \right)}}{6} - \frac{\tan{\left(\frac{1}{2} \right)}}{6} - \frac{1}{6 \tan{\left(2 \right)}} + \frac{1}{6 \tan{\left(\frac{1}{2} \right)}}$$
-1/(6*tan(2)) - tan(1/2)/6 + 1/(6*tan(1/2)) + tan(2)/6
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.