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Solving integrals/ arctg(7*x+2)

Integral of arctg(7*x+2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
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 |  atan(7*x + 2) dx
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$$\int\limits_{0}^{1} \operatorname{atan}{\left(7 x + 2 \right)}\, dx$$ 
Integral(atan(7*x + 2), (x, 0, 1))
The answer (Indefinite) [src] 
  /                          /             2\                          
 |                        log\1 + (7*x + 2) /   (7*x + 2)*atan(7*x + 2)
 | atan(7*x + 2) dx = C - ------------------- + -----------------------
 |                                 14                      7           
/
$$\int \operatorname{atan}{\left(7 x + 2 \right)}\, dx = C + \frac{\left(7 x + 2\right) \operatorname{atan}{\left(7 x + 2 \right)}}{7} - \frac{\log{\left(\left(7 x + 2\right)^{2} + 1 \right)}}{14}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  2*atan(2)   log(82)   log(5)   9*atan(9)
- --------- - ------- + ------ + ---------
      7          14       14         7
$$- \frac{2 \operatorname{atan}{\left(2 \right)}}{7} - \frac{\log{\left(82 \right)}}{14} + \frac{\log{\left(5 \right)}}{14} + \frac{9 \operatorname{atan}{\left(9 \right)}}{7}$$ 
=
= 
  2*atan(2)   log(82)   log(5)   9*atan(9)
- --------- - ------- + ------ + ---------
      7          14       14         7
$$- \frac{2 \operatorname{atan}{\left(2 \right)}}{7} - \frac{\log{\left(82 \right)}}{14} + \frac{\log{\left(5 \right)}}{14} + \frac{9 \operatorname{atan}{\left(9 \right)}}{7}$$ 
-2*atan(2)/7 - log(82)/14 + log(5)/14 + 9*atan(9)/7
Numerical answer [src] 
1.36118769251225
1.36118769251225

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

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