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Step-by-step Solution

Integral of $\sqrt{sn^3x\sqrt{cs^4x\frac{2x^{\left(2+1\right)}}{}}}$

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Answer

$\frac{\frac{88}{185}\sqrt{x^{5}}\sqrt{s^{3}}\sqrt[4]{c}\sqrt{n^{3}}}{\sqrt[4]{}}+C_0$

Step-by-step explanation

Problem to solve:

$\int\sqrt{s\cdot n3\cdot x\sqrt{c\cdot s4\cdot x\cdot\frac{2x^{\left(2+1\right)}}{}}}dx$
1

Add the values $2$ and $1$

$\int\sqrt{sn^3x\sqrt{cs^4x\frac{2x^{3}}{}}}dx$
2

The power of a product is equal to the product of it's factors raised to the same power

$\int\sqrt{s}\sqrt{n^{3}}\sqrt{x}\sqrt[4]{c}s\sqrt[4]{x}\sqrt[4]{\frac{2x^{3}}{}}dx$

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Answer

$\frac{\frac{88}{185}\sqrt{x^{5}}\sqrt{s^{3}}\sqrt[4]{c}\sqrt{n^{3}}}{\sqrt[4]{}}+C_0$
$\int\sqrt{s\cdot n3\cdot x\sqrt{c\cdot s4\cdot x\cdot\frac{2x^{\left(2+1\right)}}{}}}dx$

Main topic:

Integral calculus

Time to solve it:

~ 1.49 seconds