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(8*x-5)/(3*x^2+6*x-24)

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  • Identical expressions

  • (eight *x- five)/(three *x^ two + six *x- twenty-four)
  • (8 multiply by x minus 5) divide by (3 multiply by x squared plus 6 multiply by x minus 24)
  • (eight multiply by x minus five) divide by (three multiply by x to the power of two plus six multiply by x minus twenty minus four)
  • (8*x-5)/(3*x2+6*x-24)
  • 8*x-5/3*x2+6*x-24
  • (8*x-5)/(3*x²+6*x-24)
  • (8*x-5)/(3*x to the power of 2+6*x-24)
  • (8x-5)/(3x^2+6x-24)
  • (8x-5)/(3x2+6x-24)
  • 8x-5/3x2+6x-24
  • 8x-5/3x^2+6x-24
  • (8*x-5) divide by (3*x^2+6*x-24)
  • (8*x-5)/(3*x^2+6*x-24)dx

  • Similar expressions

  • (8*x+5)/(3*x^2+6*x-24)
  • (8*x-5)/(3*x^2-6*x-24)
  • (8*x-5)/(3*x^2+6*x+24)
Solving integrals/ (8*x-5)/(3*x^2+6*x-24)

Integral of (8*x-5)/(3*x^2+6*x-24) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  0                   
  /                   
 |                    
 |      8*x - 5       
 |  --------------- dx
 |     2              
 |  3*x  + 6*x - 24   
 |                    
/                     
-3
$$\int\limits_{-3}^{0} \frac{8 x - 5}{3 x^{2} + 6 x - 24}\, dx$$ 
Integral((8*x - 1*5)/(3*x^2 + 6*x - 1*24), (x, -3, 0))
The answer (Indefinite) [src] 
  /                                                       
 |                                                        
 |     8*x - 5              11*log(-2 + x)   37*log(4 + x)
 | --------------- dx = C + -------------- + -------------
 |    2                           18               18     
 | 3*x  + 6*x - 24                                        
 |                                                        
/
$${{37\,\log \left(x+4\right)}\over{18}}+{{11\,\log \left(x-2\right) }\over{18}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  11*log(5)   11*log(2)   37*log(4)
- --------- + --------- + ---------
      18          18          18
$$-{{11\,\log 5}\over{18}}+{{37\,\log 4}\over{18}}+{{11\,\log 2 }\over{18}}$$ 
=
= 
  11*log(5)   11*log(2)   37*log(4)
- --------- + --------- + ---------
      18          18          18
$$- \frac{11 \log{\left(5 \right)}}{18} + \frac{11 \log{\left(2 \right)}}{18} + \frac{37 \log{\left(4 \right)}}{18}$$
Simplify
Numerical answer [src] 
2.2896496283789
2.2896496283789
The graph
Integral of (8*x-5)/(3*x^2+6*x-24) dx

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

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