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- Integral of d{x}:
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Integral of e^(2*x+1)
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Integral of sin²xcos²x
- Integral of log(1+x)/(1+x^2)
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Integral of (4x-x^2)dx
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Identical expressions
- two *x*arctg(x/ three)
- 2 multiply by x multiply by arctg(x divide by 3)
- two multiply by x multiply by arctg(x divide by three)
- 2xarctg(x/3)
- 2xarctgx/3
- 2*x*arctg(x divide by 3)
- 2*x*arctg(x/3)dx
Integral of 2*x*arctg(x/3) dx
The solution
You have entered
[src]
1 / | | /x\ | 2*x*atan|-| dx | \3/ | / 0
$$\int\limits_{0}^{1} 2 x \operatorname{atan}{\left(\frac{x}{3} \right)}\, dx$$
Integral((2*x)*atan(x/3), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | /x\ /x\ 2 /x\ | 2*x*atan|-| dx = C - 3*x + 9*atan|-| + x *atan|-| | \3/ \3/ \3/ | /
$$\int 2 x \operatorname{atan}{\left(\frac{x}{3} \right)}\, dx = C + x^{2} \operatorname{atan}{\left(\frac{x}{3} \right)} - 3 x + 9 \operatorname{atan}{\left(\frac{x}{3} \right)}$$
The graph
The answer
[src]
-3 + 10*atan(1/3)
$$-3 + 10 \operatorname{atan}{\left(\frac{1}{3} \right)}$$
=
=
-3 + 10*atan(1/3)
$$-3 + 10 \operatorname{atan}{\left(\frac{1}{3} \right)}$$
-3 + 10*atan(1/3)
Use the examples entering the upper and lower limits of integration.