Q. 42 - Calculus

Question

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

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

Step-by-Step Solution

Answer

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

Step 1. Given information .

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

Step 2. Fill the blank for ∫ 1 1 + x 2 d x .

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