Question
Asked Dec 14, 2019
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Find the most general antiderivative or indefinite integral. Check your answers by differentiation.
5
dy
4y
1/5
dy =(Use C as the arbitrary constant.)
4y
1/5
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Find the most general antiderivative or indefinite integral. Check your answers by differentiation. 5 dy 4y 1/5 dy =(Use C as the arbitrary constant.) 4y 1/5

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Expert Answer

Step 1

Given:

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5 dy 4y–

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Step 2

Calculation:

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Integrating with respect to y , we get 5 | 4y – 5 dy = [ 4ydy - | %3D y5 -1 = 4f y dy – 5fy dy Sy5 5ys - 5 4 Sr"dx- = 4 Using | x"dx = n+1 4 25 y3 | 4y – +C,(C – Integrating constant) 4 dy = 2 y

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Step 3
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4 25 ys -+C...(1) 4 5 dy = 2y? Therefore, || 4y.

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Tagged in
MathCalculus

Integration