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