Question

Using the partial fractions technique, the function f(x) = x^3 / (x^4 + 113x^2 + 3136), can be written as a sum of partial fractions f(x) = x^3 / (x^4 + 113x^2 + 3136) = . Therefore, the integral of the function f(x) is ? f(x) dx = +C.

          Using the partial fractions technique, the function f(x) = x^3 / (x^4 + 113x^2 + 3136), can be written as a sum of partial fractions
f(x) = x^3 / (x^4 + 113x^2 + 3136) = .
Therefore, the integral of the function f(x) is
? f(x) dx = +C.

$Using the partial fractions technique, the function f(x) = x^3 / (x^4 + 113x^2 + 3136), can be written as a sum of partial fractions f(x) = x^3 / (x^4 + 113x^2 + 3136) = . Therefore, the integral of the function f(x) is ? f(x) dx = +C.$

Added by Aaron T.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

09/03/2023

Step 1

The given function is: $$ f(x) = \frac{X + 113x^2 + 3136}{X^4 + 113x^2 + 3136} $$ Since the denominator is a quadratic polynomial, we can rewrite it as: $$ f(x) = \frac{X + 113x^2 + 3136}{(X^2 + ax + b)(X^2 + cx + d)} $$ Now, we need to find the values of a, Show more…

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Using the partial fractions technique, the function f(x) can be written as the sum of partial fractions Therefore, the integral of the function f(x) ∫ f(x) dx +C