Calculus Examples

$1 + x^{2}$

Step 1

Split the single integral into multiple integrals.

$\int d x + \int x^{2} d x$

Step 2

Apply the constant rule.

$x + C + \int x^{2} d x$

Step 3

By the Power Rule, the integral of $x^{2}$ with respect to $x$ is $\frac{1}{3} x^{3}$ .

$x + C + \frac{1}{3} x^{3} + C$

Step 4

Simplify.

$x + \frac{1}{3} x^{3} + C$