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7. [0/7.14 Points] DETAILS MY NOTES WANEAC7 6.2.024. Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use C for the constant of integration.) $\int x^2 |5x^3 + 1| dx$ X Need Help? Read It SUBMIT ANSWER

Name: 7 0714 points details my notes waneac7 62024 decide on what substitution to use and then evaluate the given integral using a substitution use c for the constant of integration int x2 5x3 1 d 24357
Uploaded: 2022-05-24T06:24:56-08:00
Duration: 3 min 21 s
Channel: Madhur L
Description: 7 0714 points details my notes waneac7 62024 decide on what substitution to use and then evaluate the given integral using a substitution use c for the constant of integration int x2 5x3 1 d 24357

          7. [0/7.14 Points] DETAILS
MY NOTES
WANEAC7 6.2.024.
Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use C for the constant of integration.)
$\int x^2 |5x^3 + 1| dx$
X
Need Help? Read It
SUBMIT ANSWER

7 0714 points details my notes waneac7 62024 decide on what substitution to use and then evaluate the given integral using a substitution use c for the constant of integration int x2 5x3 1 d 24357

Added by Lauren H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

05/24/2022

Step 1

Then $\frac{du}{dx} = 15x^2$, so $du = 15x^2 dx$. We have $x^2 dx = \frac{1}{15} du$. The integral becomes $\int x^2 |5x^3 + 1| dx = \int |u| \frac{1}{15} du = \frac{1}{15} \int |u| du$. Show more…

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7. [0/7.14 Points] DETAILS MY NOTES WANEAC7 6.2.024. Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use C for the constant of integration.) $\int x^2 |5x^3 + 1| dx$ X Need Help? Read It SUBMIT ANSWER