Problem

7) (sec(x3)tan(x3))dx

Answer

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Answer

\boxed{3\sec\left(\frac{x}{3}\right) + C}

Steps

Step 1 :Substitute u = x3, then du/dx = 13, and dx = 3du

Step 2 :Integrate with respect to u: 3(sec(u)tan(u))du=3sec(u)+C

Step 3 :Substitute back x3 for u: 3sec(x3)+C

Step 4 :\boxed{3\sec\left(\frac{x}{3}\right) + C}

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