Integral of x^2+c dx

The solution

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$$\int\limits_{0}^{1} \left(c + x^{2}\right)\, dx$$

Integral(x^2 + c, (x, 0, 1))

Detail solution

Integrate term-by-term:
1. The integral of a constant is the constant times the variable of integration:
  
  $\int c\, dx = c x$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{2}\, dx = \frac{x^{3}}{3}$
The result is: $c x + \frac{x^{3}}{3}$
Now simplify:

$x \left(c + \frac{x^{2}}{3}\right)$
Add the constant of integration:

$x \left(c + \frac{x^{2}}{3}\right)+ \mathrm{constant}$

The answer is:

$x \left(c + \frac{x^{2}}{3}\right)+ \mathrm{constant}$

The answer (Indefinite) [src]

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$$\int \left(c + x^{2}\right)\, dx = C + c x + \frac{x^{3}}{3}$$

Simplify

The answer [src]

1/3 + c

$$c + \frac{1}{3}$$

1/3 + c

$$c + \frac{1}{3}$$

1/3 + c

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

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Integral of x^2+c dx

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