Question

$interigration \: of \: 3 \sqrt{2 {x}^{2} } dx$
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Answer 1

Answer:

$\frac{3}{ \sqrt{2} } {x}^{2}$

Step-by-step explanation:

$int \: 3 \sqrt{2 {x}^{2} } dx$

$int \: 3 \sqrt{2} |x| dx$

$\frac{3 \sqrt{2} x^{1 + 1} }{1 + 1}$

$\frac{ \: \: \:3 \sqrt{2} \: {x}^{2} \: \: }{2}$

$\frac{3}{ \sqrt{2} } {x}^{2}$

hope it will help u ❣️

Answer 2

★GIVEN:-

.

$\implies \int \: 3 \sqrt{2x {}^{2} } dx$

★SOLUTION:-

$\implies \int \: 3 \sqrt{2x {}^{2} }dx \\ \\ \implies \int \: 3 \sqrt{2} \cancel{\sqrt{x {}^{ \cancel2} } }dx \\ \\ \implies \int \: 3 \sqrt{2} xdx$

we know that

$\implies \pink{\int \: xdx = \frac{x {}^{n + 1} }{n + 1} }$

$\implies \: 3 \sqrt{2} \: \frac{x {}^{1 + 1} }{1 + 1} \\ \\ \implies \: 3 \sqrt{2} x {}^{2} \frac{1}{2} \\ \\ \implies \: 3 \cancel{\sqrt{2} } \frac{1}{ \sqrt{2} \cancel{ \sqrt{2} }}$

$\implies \: \frac{3}{ \sqrt{2} } {x}^{2}$

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I hope it helps you