Mister Exam

Integral of arctan√4x-1dx dx

Limits of integration:

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The graph:

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Piecewise:

The solution

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 |  \atan\\/ 4*x / - 1/ dx
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$$\int\limits_{0}^{0} \left(\operatorname{atan}{\left(\sqrt{4 x} \right)} - 1\right)\, dx$$
Integral(atan(sqrt(4*x)) - 1, (x, 0, 0))
The answer (Indefinite) [src]
  /                                                                        
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 | \atan\\/ 4*x / - 1/ dx = C - x - ----- + ------------- + x*atan\\/ 4*x /
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$$\int \left(\operatorname{atan}{\left(\sqrt{4 x} \right)} - 1\right)\, dx = C - \frac{\sqrt{x}}{2} + x \operatorname{atan}{\left(\sqrt{4 x} \right)} - x + \frac{\operatorname{atan}{\left(2 \sqrt{x} \right)}}{4}$$
The graph
The answer [src]
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Numerical answer [src]
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    Use the examples entering the upper and lower limits of integration.