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Integral Calculus> integrate the following integral ∫ (x -1)...

question mark

integrate the following integral
∫ (x -1)/sqrt(x +4) dx

taniska , 10 Years ago

Grade 12

1 Answers

Jitender Singh

Last Activity: 10 Years ago

Ans:
Hello Student,
Please find answer to your question below

$I = \int \frac{x-1}{\sqrt{x+4}}dx$
$I = \int \frac{x+4-5}{\sqrt{x+4}}dx$
$I = \int [\sqrt{x+4}-\frac{5}{\sqrt{x+4}}]dx$
$I = \int \sqrt{x+4}dx-\int \frac{5}{\sqrt{x+4}}dx$
$I = \frac{2(x+4)^{3/2}}{3}-10\sqrt{x+4}+c$

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