Question

Evaluate the integral. $$ \int \frac{(4x - 7) dx}{x^2 - 9x + 20} $$ (Use symbolic notation and fractions where needed. Use C for the arbitrary constant.) $$ \int \frac{(4x - 7) dx}{x^2 - 9x + 20} = $$

Name: evaluate the integral int frac4x 7 dxx2 9x 20 use symbolic notation and fractions where needed use c for the arbitrary constant int frac4x 7 dxx2 9x 20 59566
Uploaded: 2022-03-08T13:25:12-08:00
Duration: 1 min 44 s
Channel: Gregory Higby
Description: evaluate the integral int frac4x 7 dxx2 9x 20 use symbolic notation and fractions where needed use c for the arbitrary constant int frac4x 7 dxx2 9x 20 59566

          Evaluate the integral.
$$ \int \frac{(4x - 7) dx}{x^2 - 9x + 20} $$
(Use symbolic notation and fractions where needed. Use C for the arbitrary constant.)
$$ \int \frac{(4x - 7) dx}{x^2 - 9x + 20} = $$

$evaluate the integral int frac4x 7 dxx2 9x 20 use symbolic notation and fractions where needed use c for the arbitrary constant int frac4x 7 dxx2 9x 20 59566$

Added by Jose Maria R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Gregory Higby

03/08/2022

Step 1

Let's try to see if a simple substitution works. Let $u = x^2 - 9x + 20$. Then $du = (2x - 9) dx$. The numerator is $4x - 7$. We need to relate $4x - 7$ to $2x - 9$. We can write $4x - 7 = 2(2x - 9) + 18 - 7 = 2(2x - 9) + 11$. So the integral becomes: $$ \int Show more…

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Evaluate the integral. $$ \int \frac{(4x - 7) dx}{x^2 - 9x + 20} $$ (Use symbolic notation and fractions where needed. Use C for the arbitrary constant.) $$ \int \frac{(4x - 7) dx}{x^2 - 9x + 20} = $$