💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

JH

# (a) Use trigonometric substitution to show that$$\displaystyle \int \frac{dx}{\sqrt{x^2 + a^2}} = \ln (x + \sqrt{x^2 + a^2}) + C$$(b) Use the hyperbolic substitution $x = a \sinh t$ to show that$$\displaystyle \int \frac{dx}{\sqrt{x^2 + a^2}} = \sinh^{-1} \left (\frac{x}{a} \right) + C$$These formulas are connected by Formula 3.11.3.

## A. $C_{1}-\ln |a|$B. $\sinh ^{-1} \frac{x}{a}+C$

#### Topics

Integration Techniques

### Discussion

You must be signed in to discuss.

Lectures

Join Bootcamp