Evaluate the indefinite integral. (Remember to use absolute values where

Guenuegoomyns

Guenuegoomyns

Answered question

2021-12-02

Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the integration.)
24x2+64xx3+4x2+2dx

Answer & Explanation

Nicole Keller

Nicole Keller

Beginner2021-12-03Added 14 answers

Step 1
The given indefinite integral is,
24x2+64xx3+4x2+2dx
Step 2
Apply the following substitution.
u=x3+4x2+2
du=3x2+8x
8du=24x2+64x
Step 3
Now evaluate the given integral using the above substitution.
24x2+64xx3+4x2+2dx=8udu
=81udu
=8ln|u|+C
=8ln|x3+4x2+2|+C

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