Question

The integral $\int \frac{dx}{\sqrt{9x^2 - 25}}$ requires a Trig Substitution. Which of the following substitutions is appropriate? A) Let $5x = 3 \sec(\theta)$ B) Let $5x = 3 \sin(\theta)$ C) Let $3x = 5 \sec(\theta)$ D) Let $3x = 5 \sin(\theta)$

          The integral $\int \frac{dx}{\sqrt{9x^2 - 25}}$ requires a Trig Substitution. Which of the following substitutions is appropriate?
A) Let $5x = 3 \sec(\theta)$
B) Let $5x = 3 \sin(\theta)$
C) Let $3x = 5 \sec(\theta)$
D) Let $3x = 5 \sin(\theta)$

The integral ∫(dx)/(√(9x^2 - 25)) requires a Trig Substitution. Which of the following substitutions is appropriate?
A) Let 5x = 3 sec(θ)
B) Let 5x = 3 sin(θ)
C) Let 3x = 5 sec(θ)
D) Let 3x = 5 sin(θ)

Added by Brandi C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

01/30/2023

Step 1

Step 1: The integral is of the form $\int \frac{dx}{\sqrt{a^2x^2-b^2}}$. Show more…

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The integral $\int \frac{dx}{\sqrt{9x^2-25}}$ requires a Trig Substitution. Which of the following substitutions is appropriate? A) Let $5x = 3 sec(\theta)$ B) Let $5x = 3 sin(\theta)$ C) Let $3x = 5 sec(\theta)$ D) Let $3x = 5 sin(\theta)$