Question

Integral Formulas: Fill in the blanks to complete each of the following integration formulas.

$\int \frac{1}{1+x^2}dx=................$

Short answer

The value of$\int \frac{1}{1+x^2}dx={\tan }^{-1}x+C$.

Step-by-step solution

Step 1. Given information .

Consider the given integral$\int \frac{1}{1+x^2}dx$.

Step 2. Fill the blank for ∫11+x2dx.

The integral of the basic function$\int \frac{1}{1+x^2}dx={\tan }^{-1}x+C$.