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Integral of x^4+4x^3 dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
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  /               
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 |  / 4      3\   
 |  \x  + 4*x / dx
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$$\int\limits_{0}^{0} \left(x^{4} + 4 x^{3}\right)\, dx$$
Integral(x^4 + 4*x^3, (x, 0, 0))
Detail solution
  1. Integrate term-by-term:

    1. The integral of is when :

    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. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                            
 |                            5
 | / 4      3\           4   x 
 | \x  + 4*x / dx = C + x  + --
 |                           5 
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$$\int \left(x^{4} + 4 x^{3}\right)\, dx = C + \frac{x^{5}}{5} + x^{4}$$
The graph
The answer [src]
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Numerical answer [src]
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    Use the examples entering the upper and lower limits of integration.