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- Integral of d{x}:
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Integral of e^(2*x+1)
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Integral of e^x²
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Integral of (-x)/(1+x^2)
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Integral of sqrt(x^2+4)/x^2
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Identical expressions
- sin(x/ two)/ two *sign(x)
- sinus of (x divide by 2) divide by 2 multiply by sign(x)
- sinus of (x divide by two) divide by two multiply by sign(x)
- sin(x/2)/2sign(x)
- sinx/2/2signx
- sin(x divide by 2) divide by 2*sign(x)
- sin(x/2)/2*sign(x)dx
Integral of sin(x/2)/2*sign(x) dx
The solution
You have entered
[src]
pi / | | /x\ | sin|-| | \2/ | ------*sign(x) dx | 2 | / -pi
$$\int\limits_{- \pi}^{\pi} \frac{\sin{\left(\frac{x}{2} \right)}}{2} \operatorname{sign}{\left(x \right)}\, dx$$
Integral((sin(x/2)/2)*sign(x), (x, -pi, pi))
The answer (Indefinite)
[src]
/
|
/ | /x\
| | sign(x)*sin|-| dx
| /x\ | \2/
| sin|-| |
| \2/ /
| ------*sign(x) dx = C + --------------------
| 2 2
|
/
$$\int \frac{\sin{\left(\frac{x}{2} \right)}}{2} \operatorname{sign}{\left(x \right)}\, dx = C + \frac{\int \sin{\left(\frac{x}{2} \right)} \operatorname{sign}{\left(x \right)}\, dx}{2}$$
Use the examples entering the upper and lower limits of integration.