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Evaluate: int 5/sqrt(2x + 7) dx - Mathematics

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Question

Evaluate:

`int 5/sqrt(2x + 7) dx`

Evaluate
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Solution

I = `int 5/sqrt(2x + 7) dx`

⇒ I = `5int (2x + 7)^(-1//2) dx`

⇒ I = `5(((2x + 7)^(-1//2x + 1))/(-1/2 + 1)) xx 1/2 + "C"`

⇒ I = `(5(2x + 7)^(1//2))/(1/2) xx 1/2 + "C"`

∵ I = `5sqrt(2x + 7) + "C"`

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