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1-7*x^2

Integral of 1-7*x^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  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
  1. Integrate term-by-term:

    1. The integral of a constant is the constant times the variable of integration:

    1. The integral of a constant times a function is the constant times the integral of the function:

      1. The integral of is when :

      So, the result is:

    The result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                            
 |                            3
 | /       2\              7*x 
 | \1 - 7*x / dx = C + x - ----
 |                          3  
/                              
$$\int \left(1 - 7 x^{2}\right)\, dx = C - \frac{7 x^{3}}{3} + x$$
The graph
The answer [src]
-4/3
$$- \frac{4}{3}$$
=
=
-4/3
$$- \frac{4}{3}$$
-4/3
Numerical answer [src]
-1.33333333333333
-1.33333333333333
The graph
Integral of 1-7*x^2 dx

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