Integration of un*du: Linear to a fractional power, constant needed:
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This looks like a quantity raised to a power times the derivative of the quantity.
Let's try the
General Power rule for integrals:Now the integral becomes
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We now use the
Scalar Multiple rule for integrals to get![]()
Now we can use the General Power rule for integrals to get

Finally we substitute for u (as we defined it above) to get an answer in terms of x:
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