By using the integration by substitution method :
u=2x
du= 2dx ===> 1/2 du=dx
so, after substitution with the variable u in the integral will have this answer :
1/2 ln(sec(2x) +tan(2x) ) +C
==============================
1) if you really want to improve your skills in integrals, study these tutorials from the links below :

2) This is the best explanation for the integrals methods with examples, step by step. It helped me a lot & I'm sure it will be very useful & helpful for you .

By using the integration by substitution method :

u=2x

du= 2dx ===> 1/2 du=dx

so, after substitution with the variable u in the integral will have this answer :

1/2 ln(sec(2x) +tan(2x) ) +C

==============================

1) if you really want to improve your skills in integrals, study these tutorials from the links below :

https://www.studypool.com/documents/7139459/methods-of-integral-calculation-part-1

https://www.studypool.com/documents/8135108/methods-of-integral-calculation-part-2-calculus

https://www.studypool.com/documents/8135115/methods-of-integral-calculation-part-3-calculus

2) This is the best explanation for the integrals methods with examples, step by step. It helped me a lot & I'm sure it will be very useful & helpful for you .

Thank you!!!

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