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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 3/x^5
- Integral of (2tgx+3)/(sin^2x+2cos^2x)
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Integral of xe^3
- Integral of x^4/(x^2+a^2)
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Identical expressions
- one /sin²(2x)
- 1 divide by sinus of ²(2x)
- one divide by sinus of ²(2x)
- 1/sin²2x
- 1 divide by sin²(2x)
- 1/sin²(2x)dx
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Similar expressions
- 1/sin²*2x
Integral of 1/sin²(2x) dx
The solution
You have entered
[src]
pi -- 4 / | | 1 | --------- dx | 2 | sin (2*x) | / pi -- 8
$$\int\limits_{\frac{\pi}{8}}^{\frac{\pi}{4}} \frac{1}{\sin^{2}{\left(2 x \right)}}\, dx$$
Integral(1/(sin(2*x)^2), (x, pi/8, pi/4))
The answer (Indefinite)
[src]
/ | | 1 cos(2*x) | --------- dx = C - ---------- | 2 2*sin(2*x) | sin (2*x) | /
$$\int \frac{1}{\sin^{2}{\left(2 x \right)}}\, dx = C - \frac{\cos{\left(2 x \right)}}{2 \sin{\left(2 x \right)}}$$
The graph
Use the examples entering the upper and lower limits of integration.