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Sqrt(x^2+4x+13)
Solving integrals/ Sqrt(x^2+4x+13)

Integral of Sqrt(x^2+4x+13) dx

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The solution

You have entered [src] 
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0
∫01x2+4x+13 dx\int\limits_{0}^{1} \sqrt{x^{2} + 4 x + 13}\, dx 
Integral(sqrt(x^2 + 4*x + 13), (x, 0, 1))
The graph
0.001.000.100.200.300.400.500.600.700.800.90015
Plot the graph f(x)
The answer [src] 
                              ___        /      ___\
    ____   9*asinh(2/3)   9*\/ 2    9*log\1 + \/ 2 /
- \/ 13  - ------------ + ------- + ----------------
                2            2             2
9 asinh  1+9 22−9 asinh  (23)+2 132{{9\,{\rm asinh}\; 1+9\,\sqrt{2}}\over{2}}-{{9\,{\rm asinh}\; \left({{2}\over{3}}\right)+2\,\sqrt{13}}\over{2}} 
=
= 
                              ___        /      ___\
    ____   9*asinh(2/3)   9*\/ 2    9*log\1 + \/ 2 /
- \/ 13  - ------------ + ------- + ----------------
                2            2             2
−13−9asinh⁡(23)2+9log⁡(1+2)2+922- \sqrt{13} - \frac{9 \operatorname{asinh}{\left(\frac{2}{3} \right)}}{2} + \frac{9 \log{\left(1 + \sqrt{2} \right)}}{2} + \frac{9 \sqrt{2}}{2}
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Numerical answer [src] 
3.91143786917601
3.91143786917601
The graph
Integral of Sqrt(x^2+4x+13) dx

    Use the examples entering the upper and lower limits of integration.

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