Integral of (sin(x)^2)/(cos(x)^4) dx
The solution
The answer (Indefinite)
[src]
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| 2
| sin (x) sin(x) sin(x)
| ------- dx = C - -------- + ---------
| 4 3*cos(x) 3
| cos (x) 3*cos (x)
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$$\int \frac{\sin^{2}{\left(x \right)}}{\cos^{4}{\left(x \right)}}\, dx = C - \frac{\sin{\left(x \right)}}{3 \cos{\left(x \right)}} + \frac{\sin{\left(x \right)}}{3 \cos^{3}{\left(x \right)}}$$
sin(1) sin(1)
- -------- + ---------
3*cos(1) 3
3*cos (1)
$$- \frac{\sin{\left(1 \right)}}{3 \cos{\left(1 \right)}} + \frac{\sin{\left(1 \right)}}{3 \cos^{3}{\left(1 \right)}}$$
=
sin(1) sin(1)
- -------- + ---------
3*cos(1) 3
3*cos (1)
$$- \frac{\sin{\left(1 \right)}}{3 \cos{\left(1 \right)}} + \frac{\sin{\left(1 \right)}}{3 \cos^{3}{\left(1 \right)}}$$
Use the examples entering the upper and lower limits of integration.