Question

Evaluate the integral [ int frac{-10}{(x-1)left(x^{2}+9 ight)} d x ] Note: Use an upper-case "C" for the constant of integration.

          Evaluate the integral
[
int frac{-10}{(x-1)left(x^{2}+9
ight)} d x
]
Note: Use an upper-case "C" for the constant of integration.

$Evaluate the integral [ int frac-10(x-1)left(x^2+9 ight) d x ] Note: Use an upper-case "C" for the constant of integration.$

Added by Cristian F.

Calculus

James Stewart 4th Edition

Chapter 5

Instant Answer

Solved by Expert Linda Hand

01/07/2022

Step 1

We want to find constants A, B, and C such that: \[-\frac{10}{(x-1)(x^2+9)} = \frac{A}{x-1} + \frac{Bx+C}{x^2+9}\] Multiplying both sides by the common denominator gives: \[-10 = A(x^2+9) + (Bx+C)(x-1)\] Setting x = 1, we get A = -1. Substituting A = -1 into Show more…

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