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Integral of d{x}:
Integral of 1/(sqrt(x)*dx)
Integral of (-1)/(x+1)
Integral of 1/(cos(x)+sin(x))
Integral of -xsinx
Graphing y =:
x^2+4*x-5
Factor squared:
x^2+4*x-5
Factor polynomial:
x^2+4*x-5
Identical expressions
x^ two + four *x- five
x squared plus 4 multiply by x minus 5
x to the power of two plus four multiply by x minus five
x2+4*x-5
x²+4*x-5
x to the power of 2+4*x-5
x^2+4x-5
x2+4x-5
x^2+4*x-5dx
Similar expressions
x^2-4*x-5
x^2+4*x+5

Solving integrals/ x^2+4*x-5

Integral of x^2+4*x-5 dx

The solution

You have entered [src]

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 |  \x  + 4*x - 5/ dx
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0

\int\limits_{0}^{1} \left(\left(x^{2} + 4 x\right) - 5\right)\, dx

Integral(x^2 + 4*x - 5, (x, 0, 1))

Detail solution

Integrate term-by-term:
1. Integrate term-by-term:
  1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
    
    $\int x^{2}\, dx = \frac{x^{3}}{3}$
  1. The integral of a constant times a function is the constant times the integral of the function:
    
    $\int 4 x\, dx = 4 \int x\, dx$
    1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
      
      $\int x\, dx = \frac{x^{2}}{2}$
    So, the result is: $2 x^{2}$
  The result is: $\frac{x^{3}}{3} + 2 x^{2}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int \left(-5\right)\, dx = - 5 x$
The result is: $\frac{x^{3}}{3} + 2 x^{2} - 5 x$
Now simplify:

$\frac{x \left(x^{2} + 6 x - 15\right)}{3}$
Add the constant of integration:

$\frac{x \left(x^{2} + 6 x - 15\right)}{3}+ \mathrm{constant}$

The answer is:

\frac{x \left(x^{2} + 6 x - 15\right)}{3}+ \mathrm{constant}

The answer (Indefinite) [src]

  /                                       
 |                                       3
 | / 2          \                   2   x 
 | \x  + 4*x - 5/ dx = C - 5*x + 2*x  + --
 |                                      3 
/

\int \left(\left(x^{2} + 4 x\right) - 5\right)\, dx = C + \frac{x^{3}}{3} + 2 x^{2} - 5 x

Simplify

The graph

Plot the graph f(x)

The answer [src]

-8/3

- \frac{8}{3}

-8/3

- \frac{8}{3}

-8/3

Numerical answer [src]

-2.66666666666667

-2.66666666666667

The graph

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

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Identical expressions

Similar expressions

Integral of x^2+4*x-5 dx

Limits of integration:

The graph:

Piecewise:

The solution