Mister Exam

Integral of 15x^2 dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1         
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 |      2   
 |  15*x  dx
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$$\int\limits_{0}^{1} 15 x^{2}\, dx$$
Integral(15*x^2, (x, 0, 1))
Detail solution
  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:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                   
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 |     2             3
 | 15*x  dx = C + 5*x 
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$$\int 15 x^{2}\, dx = C + 5 x^{3}$$
The graph
The answer [src]
5
$$5$$
=
=
5
$$5$$
5
Numerical answer [src]
5.0
5.0
The graph
Integral of 15x^2 dx

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