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- Improper integral
- Double Integral
- Triple Integral
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How to use it?
- Integral of d{x}:
- Integral of x*dx/sqrt(x^2+x+2)
- Integral of xcoscos(3x²+2)dx
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Integral of (x^3)/6
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Integral of x/(sin(2x))^2
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Identical expressions
- x/(sin(two x))^2
- x divide by ( sinus of (2x)) squared
- x divide by ( sinus of (two x)) squared
- x/(sin(2x))2
- x/sin2x2
- x/(sin(2x))²
- x/(sin(2x)) to the power of 2
- x/sin2x^2
- x divide by (sin(2x))^2
- x/(sin(2x))^2dx
Integral of x/(sin(2x))^2 dx
The solution
You have entered
[src]
1 / | | x | --------- dx | 2 | sin (2*x) | / 0
$$\int\limits_{0}^{1} \frac{x}{\sin^{2}{\left(2 x \right)}}\, dx$$
Integral(x/sin(2*x)^2, (x, 0, 1))
The answer (Indefinite)
[src]
/ | / 2 \ | x log\1 + tan (x)/ log(tan(x)) x x*tan(x) | --------- dx = C - ---------------- + ----------- - -------- + -------- | 2 4 4 4*tan(x) 4 | sin (2*x) | /
$$\int \frac{x}{\sin^{2}{\left(2 x \right)}}\, dx = C + \frac{x \tan{\left(x \right)}}{4} - \frac{x}{4 \tan{\left(x \right)}} - \frac{\log{\left(\tan^{2}{\left(x \right)} + 1 \right)}}{4} + \frac{\log{\left(\tan{\left(x \right)} \right)}}{4}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.