#calculus u sub question #math

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worldly marten
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How do I get from step 1. To 2.

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wanton wagonBOT
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bitter oak
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Let 6sqrt(t)=u

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36t=u^2 and sqrt(t)=u/6 thus dt=2u/36 du=u/18 du thus the integral becomes 1/2(sqrt(1+u^2))/u/6) *u/18 du =3/18 *sqrt(1+u^2)=1/6 sqrt(1+u^2)