Question

Find $\int \frac{y}{y^2 - 4} dy$ $\frac{y^2}{2} + C$ $\frac{\frac{y^3}{3} - 4y}{3} + C$ $ln|2y| + C$ $2ln|y^2 - 4| + C$ $\frac{1}{2}ln|y^2 - 4| + C$ Clear my selection

Name: find int fracyy2 4 dy fracy22 c fracfracy33 4y3 c ln2y c 2lny2 4 c frac12lny2 4 c clear my selection 38561
Uploaded: 2024-02-02T03:46:56-08:00
Duration: 1 min 35 s
Channel: T. L.
Description: find int fracyy2 4 dy fracy22 c fracfracy33 4y3 c ln2y c 2lny2 4 c frac12lny2 4 c clear my selection 38561

          Find $\int \frac{y}{y^2 - 4} dy$

$\frac{y^2}{2} + C$
$\frac{\frac{y^3}{3} - 4y}{3} + C$
$ln|2y| + C$
$2ln|y^2 - 4| + C$
$\frac{1}{2}ln|y^2 - 4| + C$
Clear my selection

$find int fracyy2 4 dy fracy22 c fracfracy33 4y3 c ln2y c 2lny2 4 c frac12lny2 4 c clear my selection 38561$

Added by Deborah P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert T. L.

02/02/2024

Step 1

Then $du = 2y \, dy$, so $y \, dy = \frac{1}{2} \, du$. Then Show more…

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Find $\int \frac{y}{y^2 - 4} dy$ $\frac{y^2}{2} + C$ $\frac{\frac{y^3}{3} - 4y}{3} + C$ $ln|2y| + C$ $2ln|y^2 - 4| + C$ $\frac{1}{2}ln|y^2 - 4| + C$ Clear my selection