Determine whether the expression is true or false: int tan(2x) xx dx = -1/2ln xx |\cos(2x)| + C

Dolly Robinson 2021-09-07 Answered
Determine whether the expression is true or false:
tan(2x)×dx=12ln×|cos(2x)|+C
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Luvottoq
Answered 2021-09-08 Author has 95 answers

tan(2x)×dx=12ln×|cos(2x)|+C
I=tan(2x)×dx,substitute 2x=t,dx=dt
I=12tan(t)dt
I=12ln|sec(x)|+C,sec(x)=1cos(x)=(cos(x))1,
I=12ln|cos(x)|+C.
Thus, the solution is true.

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions