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Identical expressions
(x+ two)(x- one)dx
(x plus 2)(x minus 1)dx
(x plus two)(x minus one)dx
x+2x-1dx
Similar expressions
(x+2)(x+1)dx
(x-2)(x-1)dx

Solving integrals/ (x+2)(x-1)dx

Integral of (x+2)(x-1)dx dx

The solution

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  1                   
  /                   
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 |  (x + 2)*(x - 1) dx
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0

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

Integral((x + 2)*(x - 1), (x, 0, 1))

Detail solution

Rewrite the integrand:

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

$\frac{x \left(2 x^{2} + 3 x - 12\right)}{6}$
Add the constant of integration:

$\frac{x \left(2 x^{2} + 3 x - 12\right)}{6}+ \mathrm{constant}$

The answer is:

$\frac{x \left(2 x^{2} + 3 x - 12\right)}{6}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                          2          3
 |                          x          x 
 | (x + 2)*(x - 1) dx = C + -- - 2*x + --
 |                          2          3 
/

$$\int \left(x - 1\right) \left(x + 2\right)\, dx = C + \frac{x^{3}}{3} + \frac{x^{2}}{2} - 2 x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

-7/6

$$- \frac{7}{6}$$

-7/6

$$- \frac{7}{6}$$

-7/6

Numerical answer [src]

-1.16666666666667

-1.16666666666667

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)(x-1)dx dx

Limits of integration:

The graph:

Piecewise:

The solution