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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of sin(5x)
- Integral of dx/x*lnx
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Integral of e^x/sqrt(e^(2*x)-1)
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Integral of e^(-x)/sqrt(x)
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Identical expressions
- sin(x/ two)^ two *dx
- sinus of (x divide by 2) squared multiply by dx
- sinus of (x divide by two) to the power of two multiply by dx
- sin(x/2)2*dx
- sinx/22*dx
- sin(x/2)²*dx
- sin(x/2) to the power of 2*dx
- sin(x/2)^2dx
- sin(x/2)2dx
- sinx/22dx
- sinx/2^2dx
- sin(x divide by 2)^2*dx
Integral of sin(x/2)^2*dx dx
The solution
You have entered
[src]
1 / | | 2/x\ | sin |-|*1 dx | \2/ | / 0
$$\int\limits_{0}^{1} \sin^{2}{\left(\frac{x}{2} \right)} 1\, dx$$
Integral(sin(x/2)^2*1, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 2/x\ x /x\ /x\ | sin |-|*1 dx = C + - - cos|-|*sin|-| | \2/ 2 \2/ \2/ | /
$${{x}\over{2}}-{{\sin x}\over{2}}$$
The graph
The answer
[src]
1/2 - cos(1/2)*sin(1/2)
$$-{{\sin 1-1}\over{2}}$$
=
=
1/2 - cos(1/2)*sin(1/2)
$$- \sin{\left(\frac{1}{2} \right)} \cos{\left(\frac{1}{2} \right)} + \frac{1}{2}$$
The graph
Use the examples entering the upper and lower limits of integration.