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

Dolly Robinson

Dolly Robinson

Answered question

2021-09-07

Determine whether the expression is true or false:
tan(2x)×dx=12ln×|cos(2x)|+C

Answer & Explanation

Luvottoq

Luvottoq

Skilled2021-09-08Added 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.

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