Question

3. $\int \frac{3x+2}{x^2+4x+5} dx$ (Hint: $\int \frac{3x+2}{x^2+4x+5} dx = \int \frac{3x+2}{(x+2)^2+1} dx$. Let $u = x+2$, and use integral formulas.)

Name: 3 int frac3x2x24x5 dx hint int frac3x2x24x5 dx int frac3x2x221 dx let u x2 and use integral formulas 61202
Uploaded: 2021-12-30T20:02:20-08:00
Duration: 1 min 1 s
Channel: John Nicolle
Description: 3 int frac3x2x24x5 dx hint int frac3x2x24x5 dx int frac3x2x221 dx let u x2 and use integral formulas 61202

          3. $\int \frac{3x+2}{x^2+4x+5} dx$ (Hint: $\int \frac{3x+2}{x^2+4x+5} dx = \int \frac{3x+2}{(x+2)^2+1} dx$. Let $u = x+2$, and use integral formulas.)

$3 int frac3x2x24x5 dx hint int frac3x2x24x5 dx int frac3x2x221 dx let u x2 and use integral formulas 61202$

Added by Daniel L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert John Nicolle

12/30/2021

Step 1

Then $du = dx$ and $x = u-2$. Substitute into the integral: $\int \frac{3x+2}{(x+2)^2+1} dx = \int \frac{3(u-2)+2}{u^2+1} du = \int \frac{3u-4}{u^2+1} du$ Show more…

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3. $\int \frac{3x+2}{x^2+4x+5} dx$ (Hint: $\int \frac{3x+2}{x^2+4x+5} dx = \int \frac{3x+2}{(x+2)^2+1} dx$. Let $u = x+2$, and use integral formulas.)