Integral of sin(x)^3*tg(x)^2 dx
The solution
The answer (Indefinite)
[src]
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| 3
| 3 2 1 cos (x)
| sin (x)*tan (x) dx = C + ------ + 2*cos(x) - -------
| cos(x) 3
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$$\int \sin^{3}{\left(x \right)} \tan^{2}{\left(x \right)}\, dx = C - \frac{\cos^{3}{\left(x \right)}}{3} + 2 \cos{\left(x \right)} + \frac{1}{\cos{\left(x \right)}}$$
3
8 1 cos (1)
- - + ------ + 2*cos(1) - -------
3 cos(1) 3
$$- \frac{8}{3} - \frac{\cos^{3}{\left(1 \right)}}{3} + 2 \cos{\left(1 \right)} + \frac{1}{\cos{\left(1 \right)}}$$
=
3
8 1 cos (1)
- - + ------ + 2*cos(1) - -------
3 cos(1) 3
$$- \frac{8}{3} - \frac{\cos^{3}{\left(1 \right)}}{3} + 2 \cos{\left(1 \right)} + \frac{1}{\cos{\left(1 \right)}}$$
-8/3 + 1/cos(1) + 2*cos(1) - cos(1)^3/3
Use the examples entering the upper and lower limits of integration.