Mister Exam
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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
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How to use it?
- Integral of d{x}:
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Integral of x^3/sqrt(1+x^2)
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Integral of 2+x^2
- Integral of 1/x*lnx
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Integral of 1/(x^4+4x^2+4)
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Identical expressions
- one /(2sinx+sin2x)
- 1 divide by (2 sinus of x plus sinus of 2x)
- one divide by (2 sinus of x plus sinus of 2x)
- 1/2sinx+sin2x
- 1 divide by (2sinx+sin2x)
- 1/(2sinx+sin2x)dx
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Similar expressions
- 1/(2sinx-sin2x)
Integral of 1/(2sinx+sin2x) dx
The solution
You have entered
[src]
1 / | | 1 | 1*------------------- dx | 2*sin(x) + sin(2*x) | / 0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{2 \sin{\left(x \right)} + \sin{\left(2 x \right)}}\, dx$$
Integral(1/(2*sin(x) + sin(2*x)), (x, 0, 1))
The answer (Indefinite)
[src]
$$-{{\left(\sin ^2\left(2\,x\right)+4\,\sin x\,\sin \left(2\,x\right)
+\cos ^2\left(2\,x\right)+\left(4\,\cos x+2\right)\,\cos \left(2\,x
\right)+4\,\sin ^2x+4\,\cos ^2x+4\,\cos x+1\right)\,\log \left(\sin
^2x+\cos ^2x+2\,\cos x+1\right)+\left(-\sin ^2\left(2\,x\right)-4\,
\sin x\,\sin \left(2\,x\right)-\cos ^2\left(2\,x\right)+\left(-4\,
\cos x-2\right)\,\cos \left(2\,x\right)-4\,\sin ^2x-4\,\cos ^2x-4\,
\cos x-1\right)\,\log \left(\sin ^2x+\cos ^2x-2\,\cos x+1\right)-4\,
\sin x\,\sin \left(2\,x\right)-4\,\cos x\,\cos \left(2\,x\right)-8\,
\sin ^2x-8\,\cos ^2x-4\,\cos x}\over{8\,\sin ^2\left(2\,x\right)+32
\,\sin x\,\sin \left(2\,x\right)+8\,\cos ^2\left(2\,x\right)+\left(
32\,\cos x+16\right)\,\cos \left(2\,x\right)+32\,\sin ^2x+32\,\cos ^
2x+32\,\cos x+8}}$$
The answer
[src]
1 / | | 1 | ------------------- dx | 2*sin(x) + sin(2*x) | / 0
$${\it \%a}$$
=
=
1 / | | 1 | ------------------- dx | 2*sin(x) + sin(2*x) | / 0
$$\int\limits_{0}^{1} \frac{1}{2 \sin{\left(x \right)} + \sin{\left(2 x \right)}}\, dx$$
Use the examples entering the upper and lower limits of integration.