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3x^2+2x+1

Integral of 3x^2+2x+1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
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 |  \3*x  + 2*x + 1/ dx
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$$\int\limits_{0}^{1} \left(\left(3 x^{2} + 2 x\right) + 1\right)\, dx$$
Integral(3*x^2 + 2*x + 1, (x, 0, 1))
Detail solution
  1. Integrate term-by-term:

    1. Integrate term-by-term:

      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:

      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:

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

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                                     
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 | /   2          \               2    3
 | \3*x  + 2*x + 1/ dx = C + x + x  + x 
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$$\int \left(\left(3 x^{2} + 2 x\right) + 1\right)\, dx = C + x^{3} + x^{2} + x$$
The graph
The answer [src]
3
$$3$$
=
=
3
$$3$$
3
Numerical answer [src]
3.0
3.0
The graph
Integral of 3x^2+2x+1 dx

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