Q. 43 - Calculus

Question

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

$\int \frac{1}{\left|x\right|\sqrt{x^2-1}}dx = ...............$

Step-by-Step Solution

Answer

The value of $\int \frac{1}{\left|x\right|\sqrt{x^2-1}}dx=se{c}^{-1}x+C$ .

Step 1. Given information .

Consider the given integral function $\int \frac{1}{\left|x\right|\sqrt{x^2}-1}dx$ .
 .

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

The integral of the basic function $\int \frac{1}{\left|x\right|\sqrt{x^2-1}}dx=se{c}^{-1}x+C$ .