Evaluate the integral by making the given substitution. (Use C for the constant of integration. Remember to use absolute values where appropriate.) ∫(x^4)/(x^5 − 7) dx , u = x^5 − 7

Name: evaluate the integral by making the given substitution use c for the constant of integration remember to use absolute values where appropriate x4 x5 7 dx u x5 7 19503
Uploaded: 2023-09-05T08:39:41-08:00
Duration: 1 min 31 s
Channel: Adi S
Description: evaluate the integral by making the given substitution use c for the constant of integration remember to use absolute values where appropriate x4 x5 7 dx u x5 7 19503

          Evaluate the integral by making the given substitution.
(Use C for the constant of integration. Remember
to use absolute values where appropriate.)
∫(x^4)/(x^5 − 7) dx
,    u = x^5 − 7

Added by Theresa R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

09/05/2023

Step 1

The derivative of u = x^5 - 7 is du = 5x^4 dx. We can rearrange this to get dx = du / (5x^4). Now we can substitute u and dx into the integral: ∫(x^4)/(x^5 - 7) dx = ∫(1/5) du/u Show more…

Show all steps

Thanks for your feedback!

Evaluate the integral by making the given substitution. (Use C for the constant of integration. Remember to use absolute values where appropriate.) ∫(x^4)/(x^5 − 7) dx , u = x^5 − 7