Janelle S. answered • 09/24/20

Penn State Grad for ME, Math & Test Prep Tutoring (10+ yrs experience)

If we set u = 5 - 2sin(2x)

then du = -4cos(2x) dx

so dx = (-1 / 4cos(2x)) du

When you substitute u and du into the original equation, the cos terms will cancel out and simplify to an easy term to integrate.

∫ [cos(2x) / √(u)] * (-1 / 4cos(2x)) du = ∫ [ -1 / 4√u ] du

Your answer is D

Lilah,

I've noticed that you've been posting a lot of similar questions over the past few days. Please let me know if you would like to schedule a lesson to help you work through the content.

Thanks,

Janelle