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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
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How to use it?
- Integral of d{x}:
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Integral of 8cos(4x)
- Integral of dx/(4+5sin2x)
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Integral of x/(sqrt(2x+7))
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Integral of sin(0.5*x)
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Identical expressions
- dx/(four +5sin2x)
- dx divide by (4 plus 5 sinus of 2x)
- dx divide by (four plus 5 sinus of 2x)
- dx/4+5sin2x
- dx divide by (4+5sin2x)
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Similar expressions
- dx/(4-5sin2x)
Integral of dx/(4+5sin2x) dx
The solution
You have entered
[src]
x / | | 1 | 1*-------------- dx | 4 + 5*sin(2*x) | / 0
$$\int\limits_{0}^{x} 1 \cdot \frac{1}{5 \sin{\left(2 x \right)} + 4}\, dx$$
Integral(1/(4 + 5*sin(2*x)), (x, 0, x))
The answer (Indefinite)
[src]
/ | | 1 log(2 + tan(x)) log(1 + 2*tan(x)) | 1*-------------- dx = C - --------------- + ----------------- | 4 + 5*sin(2*x) 6 6 | /
$${{\log \left({{2\,\sin \left(2\,x\right)}\over{\cos \left(2\,x
\right)+1}}+1\right)}\over{6}}-{{\log \left({{\sin \left(2\,x\right)
}\over{\cos \left(2\,x\right)+1}}+2\right)}\over{6}}$$
The answer
[src]
log(2 + tan(x)) log(2) log(1 + 2*tan(x))
- --------------- + ------ + -----------------
6 6 6
$$- \frac{\log{\left(\tan{\left(x \right)} + 2 \right)}}{6} + \frac{\log{\left(2 \tan{\left(x \right)} + 1 \right)}}{6} + \frac{\log{\left(2 \right)}}{6}$$
=
=
log(2 + tan(x)) log(2) log(1 + 2*tan(x))
- --------------- + ------ + -----------------
6 6 6
$$- \frac{\log{\left(\tan{\left(x \right)} + 2 \right)}}{6} + \frac{\log{\left(2 \tan{\left(x \right)} + 1 \right)}}{6} + \frac{\log{\left(2 \right)}}{6}$$
Use the examples entering the upper and lower limits of integration.