Integration Continued

 

Integration continued…

 

Try these and click on the number to see the answer. Integrate to find y. First do the substitution for u and du.

1. dy = 4x/(x2 + 3)1/2dx

u = x2 + 3 du = 2x dx n = -1/2

            dy = 2u-1/2 du

            y = 4u1/2 + C = 4(x2 + 3)1/2 + C

2. dy = x2 (2x3 + 5) 1/2 dx

3. dy = x(2x2 + 10)6 dx

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