Question

QUESTION 2 [7 Marks] By using partial fraction, determine the integral $int frac{3x^2 + x + 27}{x^3 + 9x} dx$.

          QUESTION 2 [7 Marks]
By using partial fraction, determine the integral $int frac{3x^2 + x + 27}{x^3 + 9x} dx$.

$QUESTION 2 [7 Marks] By using partial fraction, determine the integral int frac3x^2 + x + 27x^3 + 9x dx.$

Added by Olga C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

02/10/2023

Step 1

Let's rewrite the fraction as: $$\frac{299 - 8x}{23 + 9x} = \frac{A}{23 + 9x} + \frac{Bx + C}{(23 + 9x)^2}$$ Multiplying both sides by $(23 + 9x)^2$, we get: $$(299 - 8x)(23 + 9x) = A(23 + 9x) + Bx(23 + 9x) + C$$ Now, we can solve for A, B, and C by comparing Show more…

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