Calculus Examples

$\frac{2.3}{x} + 1$

Step 1

Split the single integral into multiple integrals.

$\int \frac{2.3}{x} d x + \int d x$

Step 2

Since $2.3$ is constant with respect to $x$ , move $2.3$ out of the integral.

$2.3 \int \frac{1}{x} d x + \int d x$

Step 3

The integral of $\frac{1}{x}$ with respect to $x$ is $\ln (| x |)$ .

$2.3 (\ln (| x |) + C) + \int d x$

Step 4

Apply the constant rule.

$2.3 (\ln (| x |) + C) + x + C$

Step 5

Simplify.

$2.3 \ln (| x |) + x + C$