Select all expressions matching the value of indefinite integral int (-dt)/(sin^2)(t)/(4) -cot^2(t)/(4)+C cot(t)/(16)+C 4cot(t)/(4)+C

Question

Answer 1

To solve the indefinite integral

, we can use a trigonometric identity and substitution.First, recall the identity:

So, we can rewrite the integral as:

Next, use the substitution

, which implies

or

.Substitute

and

into the integral:

The integral of

is

:

Now, substitute back

:

Thus, the correct expression matching the value of the indefinite integral is:

So, the correct answer is:

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