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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*e^(x^2)
- Integral of x^2*ln(x)
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Integral of x^2*e^x*dx
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Integral of 2e^x
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Identical expressions
- xarctg(x/ two)
- xarctg(x divide by 2)
- xarctg(x divide by two)
- xarctgx/2
- xarctg(x/2)dx
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Similar expressions
- (1/sqrt(x))*arctg(x/2+x)
Integral of xarctg(x/2) dx
The solution
You have entered
[src]
1 / | | /x\ | x*atan|-| dx | \2/ | / 0
$$\int\limits_{0}^{1} x \operatorname{atan}{\left(\frac{x}{2} \right)}\, dx$$
Integral(x*atan(x/2), (x, 0, 1))
The answer (Indefinite)
[src]
/ 2 /x\ | x *atan|-| | /x\ /x\ \2/ | x*atan|-| dx = C - x + 2*atan|-| + ---------- | \2/ \2/ 2 | /
$$\int x \operatorname{atan}{\left(\frac{x}{2} \right)}\, dx = C + \frac{x^{2} \operatorname{atan}{\left(\frac{x}{2} \right)}}{2} - x + 2 \operatorname{atan}{\left(\frac{x}{2} \right)}$$
The graph
The answer
[src]
5*atan(1/2)
-1 + -----------
2
$$-1 + \frac{5 \operatorname{atan}{\left(\frac{1}{2} \right)}}{2}$$
=
=
5*atan(1/2)
-1 + -----------
2
$$-1 + \frac{5 \operatorname{atan}{\left(\frac{1}{2} \right)}}{2}$$
-1 + 5*atan(1/2)/2
The graph
Use the examples entering the upper and lower limits of integration.