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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of cosx
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Integral of 1/(2+x^2)
- Integral of x/(x^3-3x+2)
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Integral of -x+4
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Identical expressions
- one /((two +cosx)×(sinx))
- 1 divide by ((2 plus co sinus of e of x)×( sinus of x))
- one divide by ((two plus co sinus of e of x)×( sinus of x))
- 1/2+cosx×sinx
- 1 divide by ((2+cosx)×(sinx))
- 1/((2+cosx)×(sinx))dx
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Similar expressions
- 1/((2-cosx)×(sinx))
Integral of 1/((2+cosx)×(sinx)) dx
The solution
You have entered
[src]
1 / | | 1 | ------------------- dx | (2 + cos(x))*sin(x) | / 0
$$\int\limits_{0}^{1} \frac{1}{\left(\cos{\left(x \right)} + 2\right) \sin{\left(x \right)}}\, dx$$
Integral(1/((2 + cos(x))*sin(x)), (x, 0, 1))
The answer (Indefinite)
[src]
/ / 2/x\\ / /x\\ | log|3 + tan |-|| log|tan|-|| | 1 \ \2// \ \2// | ------------------- dx = C + ---------------- + ----------- | (2 + cos(x))*sin(x) 3 3 | /
$$\int \frac{1}{\left(\cos{\left(x \right)} + 2\right) \sin{\left(x \right)}}\, dx = C + \frac{\log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 3 \right)}}{3} + \frac{\log{\left(\tan{\left(\frac{x}{2} \right)} \right)}}{3}$$
The graph
Use the examples entering the upper and lower limits of integration.