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Identical expressions
one - seven *x^ two
1 minus 7 multiply by x squared
one minus seven multiply by x to the power of two
1-7*x2
1-7*x²
1-7*x to the power of 2
1-7x^2
1-7x2
1-7*x^2dx
Similar expressions
1+7*x^2

Solving integrals/ 1-7*x^2

Integral of 1-7*x^2 dx

The solution

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  1              
  /              
 |               
 |  /       2\   
 |  \1 - 7*x / dx
 |               
/                
0

$$\int\limits_{0}^{1} \left(1 - 7 x^{2}\right)\, dx$$

Integral(1 - 7*x^2, (x, 0, 1))

Detail solution

Integrate term-by-term:
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 1\, dx = x$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \left(- 7 x^{2}\right)\, dx = - 7 \int x^{2}\, dx$
  1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
    
    $\int x^{2}\, dx = \frac{x^{3}}{3}$
  So, the result is: $- \frac{7 x^{3}}{3}$
The result is: $- \frac{7 x^{3}}{3} + x$
Add the constant of integration:

$- \frac{7 x^{3}}{3} + x+ \mathrm{constant}$

The answer is:

$- \frac{7 x^{3}}{3} + x+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                            
 |                            3
 | /       2\              7*x 
 | \1 - 7*x / dx = C + x - ----
 |                          3  
/

$$\int \left(1 - 7 x^{2}\right)\, dx = C - \frac{7 x^{3}}{3} + x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

-4/3

$$- \frac{4}{3}$$

-4/3

$$- \frac{4}{3}$$

-4/3

Numerical answer [src]

-1.33333333333333

-1.33333333333333

The graph

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

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Identical expressions

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Integral of 1-7*x^2 dx

Limits of integration:

The graph:

Piecewise:

The solution