Question
Asked Dec 3, 2019
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Evaluate the indefinite integral. (Use C for the constant of integration.)
/(6 - 5x)8 dx
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Evaluate the indefinite integral. (Use C for the constant of integration.) /(6 - 5x)8 dx

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Expert Answer

Step 1

Given:

|(6–5x)'dx
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|(6–5x)'dx

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Step 2

Calculation:

Applying substitution method.

Let u6-5xwhich implies du -5 dx
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Let u6-5xwhich implies du -5 dx

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Step 3
Then the integral becomes,
du
8
и"
J(6-5x) d = [
-5
5
8+1
using xdx
8+1
n+1
1
5
45
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Then the integral becomes, du 8 и" J(6-5x) d = [ -5 5 8+1 using xdx 8+1 n+1 1 5 45

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Tagged in

Math

Calculus

Integration