# What is the integral of #int tan^5(x)#?

Therefore

Thus

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

The integral of ( \tan^5(x) ) with respect to ( x ) involves a complex expression and does not have a simple, elementary form. You can express it in terms of special functions, such as elliptic integrals or hypergeometric functions, but it cannot be directly expressed in terms of elementary functions like polynomials, exponentials, trigonometric functions, and their inverses. Therefore, you would typically leave the integral in that form unless you are asked to approximate it numerically or evaluate it over a specific interval.

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

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