Mister Exam

Integral of sqrt(1-9x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
      ___              
 14*\/ 7               
     /                 
    |                  
    |      _________   
    |    \/ 1 - 9*x  dx
    |                  
   /                   
   7                   
$$\int\limits_{7}^{14 \sqrt{7}} \sqrt{- 9 x + 1}\, dx$$
The answer (Indefinite) [src]
  /                                   
 |                                 3/2
 |   _________          2*(1 - 9*x)   
 | \/ 1 - 9*x  dx = C - --------------
 |                            27      
/                                     
$$-{{2\,\left(1-9\,x\right)^{{{3}\over{2}}}}\over{27}}$$
The graph
The answer [src]
                   3/2               
    /          ___\              ____
  2*\1 - 126*\/ 7 /      124*I*\/ 62 
- -------------------- - ------------
           27                 27     
$${{\sqrt{1-18\,7^{{{3}\over{2}}}}\,\left(36\,7^{{{3}\over{2}}}-2 \right)}\over{27}}-{{2\,62^{{{3}\over{2}}}\,i}\over{27}}$$
=
=
                   3/2               
    /          ___\              ____
  2*\1 - 126*\/ 7 /      124*I*\/ 62 
- -------------------- - ------------
           27                 27     
$$- \frac{124 \sqrt{62} i}{27} - \frac{2 \left(- 126 \sqrt{7} + 1\right)^{\frac{3}{2}}}{27}$$
Numerical answer [src]
(0.0 + 412.674734725988j)
(0.0 + 412.674734725988j)
The graph
Integral of sqrt(1-9x) dx

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