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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1/(2x-1)
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Integral of (4-x^2)^(1/2)
- Integral of x^2/(x-1)
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Integral of (x^2)/(x+1)
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Identical expressions
- atan(sqrt(six *x- one))
- arc tangent of gent of ( square root of (6 multiply by x minus 1))
- arc tangent of gent of ( square root of (six multiply by x minus one))
- atan(√(6*x-1))
- atan(sqrt(6x-1))
- atansqrt6x-1
- atan(sqrt(6*x-1))dx
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Similar expressions
- atan(sqrt(6*x+1))
- arctan(sqrt(6*x-1))
Integral of atan(sqrt(6*x-1)) dx
The solution
You have entered
[src]
0 / | | / _________\ | atan\\/ 6*x - 1 / dx | / 0
$$\int\limits_{0}^{0} \operatorname{atan}{\left(\sqrt{6 x - 1} \right)}\, dx$$
Integral(atan(sqrt(6*x - 1)), (x, 0, 0))
The answer (Indefinite)
[src]
/ | _________ / _________\ / _________\ | / _________\ \/ 6*x - 1 atan\\/ 6*x - 1 / (6*x - 1)*atan\\/ 6*x - 1 / | atan\\/ 6*x - 1 / dx = C - ----------- + ----------------- + --------------------------- | 6 6 6 /
$$\int \operatorname{atan}{\left(\sqrt{6 x - 1} \right)}\, dx = C - \frac{\sqrt{6 x - 1}}{6} + \frac{\left(6 x - 1\right) \operatorname{atan}{\left(\sqrt{6 x - 1} \right)}}{6} + \frac{\operatorname{atan}{\left(\sqrt{6 x - 1} \right)}}{6}$$
The graph
Use the examples entering the upper and lower limits of integration.