Sr Examen
Integral de sin4(2x-3) dx
Solución
Ha introducido
[src]
0 / | | 4 | sin (2*x - 3) dx | / 0
$$\int\limits_{0}^{0} \sin^{4}{\left(2 x - 3 \right)}\, dx$$
Integral(sin(2*x - 3)^4, (x, 0, 0))
Respuesta (Indefinida)
[src]
/ | 3 7 5 8 2 6 4 | 4 11*tan (-3/2 + x) 3*tan(-3/2 + x) 3*x 3*tan (-3/2 + x) 11*tan (-3/2 + x) 3*x*tan (-3/2 + x) 12*x*tan (-3/2 + x) 12*x*tan (-3/2 + x) 18*x*tan (-3/2 + x) | sin (2*x - 3) dx = C - -------------------------------------------------------------------------------- - -------------------------------------------------------------------------------- + -------------------------------------------------------------------------------- + -------------------------------------------------------------------------------- + -------------------------------------------------------------------------------- + -------------------------------------------------------------------------------- + -------------------------------------------------------------------------------- + -------------------------------------------------------------------------------- + -------------------------------------------------------------------------------- | 8 2 6 4 8 2 6 4 8 2 6 4 8 2 6 4 8 2 6 4 8 2 6 4 8 2 6 4 8 2 6 4 8 2 6 4 / 8 + 8*tan (-3/2 + x) + 32*tan (-3/2 + x) + 32*tan (-3/2 + x) + 48*tan (-3/2 + x) 8 + 8*tan (-3/2 + x) + 32*tan (-3/2 + x) + 32*tan (-3/2 + x) + 48*tan (-3/2 + x) 8 + 8*tan (-3/2 + x) + 32*tan (-3/2 + x) + 32*tan (-3/2 + x) + 48*tan (-3/2 + x) 8 + 8*tan (-3/2 + x) + 32*tan (-3/2 + x) + 32*tan (-3/2 + x) + 48*tan (-3/2 + x) 8 + 8*tan (-3/2 + x) + 32*tan (-3/2 + x) + 32*tan (-3/2 + x) + 48*tan (-3/2 + x) 8 + 8*tan (-3/2 + x) + 32*tan (-3/2 + x) + 32*tan (-3/2 + x) + 48*tan (-3/2 + x) 8 + 8*tan (-3/2 + x) + 32*tan (-3/2 + x) + 32*tan (-3/2 + x) + 48*tan (-3/2 + x) 8 + 8*tan (-3/2 + x) + 32*tan (-3/2 + x) + 32*tan (-3/2 + x) + 48*tan (-3/2 + x) 8 + 8*tan (-3/2 + x) + 32*tan (-3/2 + x) + 32*tan (-3/2 + x) + 48*tan (-3/2 + x)
$$\int \sin^{4}{\left(2 x - 3 \right)}\, dx = C + \frac{3 x \tan^{8}{\left(x - \frac{3}{2} \right)}}{8 \tan^{8}{\left(x - \frac{3}{2} \right)} + 32 \tan^{6}{\left(x - \frac{3}{2} \right)} + 48 \tan^{4}{\left(x - \frac{3}{2} \right)} + 32 \tan^{2}{\left(x - \frac{3}{2} \right)} + 8} + \frac{12 x \tan^{6}{\left(x - \frac{3}{2} \right)}}{8 \tan^{8}{\left(x - \frac{3}{2} \right)} + 32 \tan^{6}{\left(x - \frac{3}{2} \right)} + 48 \tan^{4}{\left(x - \frac{3}{2} \right)} + 32 \tan^{2}{\left(x - \frac{3}{2} \right)} + 8} + \frac{18 x \tan^{4}{\left(x - \frac{3}{2} \right)}}{8 \tan^{8}{\left(x - \frac{3}{2} \right)} + 32 \tan^{6}{\left(x - \frac{3}{2} \right)} + 48 \tan^{4}{\left(x - \frac{3}{2} \right)} + 32 \tan^{2}{\left(x - \frac{3}{2} \right)} + 8} + \frac{12 x \tan^{2}{\left(x - \frac{3}{2} \right)}}{8 \tan^{8}{\left(x - \frac{3}{2} \right)} + 32 \tan^{6}{\left(x - \frac{3}{2} \right)} + 48 \tan^{4}{\left(x - \frac{3}{2} \right)} + 32 \tan^{2}{\left(x - \frac{3}{2} \right)} + 8} + \frac{3 x}{8 \tan^{8}{\left(x - \frac{3}{2} \right)} + 32 \tan^{6}{\left(x - \frac{3}{2} \right)} + 48 \tan^{4}{\left(x - \frac{3}{2} \right)} + 32 \tan^{2}{\left(x - \frac{3}{2} \right)} + 8} + \frac{3 \tan^{7}{\left(x - \frac{3}{2} \right)}}{8 \tan^{8}{\left(x - \frac{3}{2} \right)} + 32 \tan^{6}{\left(x - \frac{3}{2} \right)} + 48 \tan^{4}{\left(x - \frac{3}{2} \right)} + 32 \tan^{2}{\left(x - \frac{3}{2} \right)} + 8} + \frac{11 \tan^{5}{\left(x - \frac{3}{2} \right)}}{8 \tan^{8}{\left(x - \frac{3}{2} \right)} + 32 \tan^{6}{\left(x - \frac{3}{2} \right)} + 48 \tan^{4}{\left(x - \frac{3}{2} \right)} + 32 \tan^{2}{\left(x - \frac{3}{2} \right)} + 8} - \frac{11 \tan^{3}{\left(x - \frac{3}{2} \right)}}{8 \tan^{8}{\left(x - \frac{3}{2} \right)} + 32 \tan^{6}{\left(x - \frac{3}{2} \right)} + 48 \tan^{4}{\left(x - \frac{3}{2} \right)} + 32 \tan^{2}{\left(x - \frac{3}{2} \right)} + 8} - \frac{3 \tan{\left(x - \frac{3}{2} \right)}}{8 \tan^{8}{\left(x - \frac{3}{2} \right)} + 32 \tan^{6}{\left(x - \frac{3}{2} \right)} + 48 \tan^{4}{\left(x - \frac{3}{2} \right)} + 32 \tan^{2}{\left(x - \frac{3}{2} \right)} + 8}$$
Gráfica
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.