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ns36
 3 years ago
What's the integral of (2x)^(1/2)?
ns36
 3 years ago
What's the integral of (2x)^(1/2)?

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asnaseer
 3 years ago
Best ResponseYou've already chosen the best response.1use substitution, i.e.:\[u=2x\tag{a}\]therefore:\[du=dx\]therefore:\[\int (2x)^{\frac{1}{2}}dx=\int u^{\frac{1}{2}}du=\frac{2u^{\frac{3}{2}}}{3}+constant\]then substitute back using equation (a) to get:\[\int (2x)^{\frac{1}{2}}dx=\frac{2(2x)^{\frac{3}{2}}}{3}+constant\]
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