Question

Find the area of the region under the given curve from 1 to 6. $y = \frac{x^2 + 6}{7x - x^2}$

          Find the area of the region under the given curve from 1 to 6.
$y = \frac{x^2 + 6}{7x - x^2}$

Find the area of the region under the given curve from 1 to 6.
y = (x^2 + 6)/(7x - x^2)

Added by Stephanie P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Supreeta N

09/19/2023

Step 1

Setting the two equations equal to each other, we get: 2 + 6x = x^2 Rearranging the equation, we get: x^2 - 6x - 2 = 0 Using the quadratic formula, we find the solutions for x: x = (6 ± √(6^2 - 4*(-2)))/2 x = (6 ± √(36 + 8))/2 x = (6 ± √44)/2 x = (6 ± 2√11)/2 x = Show more…

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