Question

Find the general indefinite integral. (Use C for the constant of integration.) $$ \int \left(u^6 - 3u^5 - u^3 + \frac{4}{7}\right) du $$

Name: find the general indefinite integral use c for the constant of integration int leftu6 3u5 u3 frac47right du 96079
Uploaded: 2023-05-24T05:38:33-08:00
Duration: 3 min 25 s
Channel: Madhur L
Description: find the general indefinite integral use c for the constant of integration int leftu6 3u5 u3 frac47right du 96079

          Find the general indefinite integral. (Use C for the constant of integration.)
$$ \int \left(u^6 - 3u^5 - u^3 + \frac{4}{7}\right) du $$

$find the general indefinite integral use c for the constant of integration int leftu6 3u5 u3 frac47right du 96079$

Added by David D.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

05/24/2023

Step 1

The function is a polynomial in $u$. We can use the power rule for integration, which states that $\int x^n dx = \frac{x^{n+1}}{n+1} + C$ for $n \neq -1$, and the constant multiple rule, $\int c f(x) dx = c \int f(x) dx$, and the sum/difference rule, $\int (f(x) Show more…

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