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x^2+1
Solving integrals/ x^2+1

Integral of x^2+1 dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
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∫01(x2+1) dx\int\limits_{0}^{1} \left(x^{2} + 1\right)\, dx 
Integral(x^2 + 1, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

    1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n≠−1n \neq -1:

      ∫x2 dx=x33\int x^{2}\, dx = \frac{x^{3}}{3}

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

      ∫1 dx=x\int 1\, dx = x

    The result is: x33+x\frac{x^{3}}{3} + x

  2. Add the constant of integration:

    x33+x+constant\frac{x^{3}}{3} + x+ \mathrm{constant}

The answer is:

x33+x+constant\frac{x^{3}}{3} + x+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                        
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 | / 2    \              x 
 | \x  + 1/ dx = C + x + --
 |                       3 
/
x33+x{{x^3}\over{3}}+x
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9004
Plot the graph f(x)
The answer [src] 
4/3
43{{4}\over{3}} 
=
= 
4/3
43\frac{4}{3}
Simplify
Numerical answer [src] 
1.33333333333333
1.33333333333333
The graph
Integral of x^2+1 dx

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

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