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Grade 12Integral Calculus

integrate the following integral
∫ x sqrt(x+2) dx

taniska

11 Years agoGrade 12

1 Answer

Jitender Singh

11 Years ago

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

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

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