# How do you find the indefinite integral of #int (sect+tant)#?

The answer is

Perform the substitution

Perform the substitution

Finally,

By signing up, you agree to our Terms of Service and Privacy Policy

To find the indefinite integral of ∫(sec(t) + tan(t)) dt:

- Rewrite sec(t) + tan(t) as sec(t) + sec(t) * tan(t)/sec(t).
- Simplify to sec(t) * (1 + tan(t)).
- Recognize the derivative of sec(t) as sec(t) * tan(t). Hence, we can write 1 + tan(t) as the derivative of sec(t).
- Integrate sec(t) with respect to t to get ln|sec(t) + tan(t)| + C, where C is the constant of integration.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7