# What's the integral of #int (tanx)^5*(secx)^4dx#?

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

To solve the integral ∫(tan(x))^5(sec(x))^4 dx, we can use trigonometric identities and integration by substitution. We start by expressing sec(x) as 1/cos(x) and tan(x) as sin(x)/cos(x). Then, we use the substitution u = cos(x), which implies du = -sin(x) dx. After substituting and simplifying, we obtain the integral in terms of u. Finally, we can integrate with respect to u and then revert back to the variable x.

The integral can be solved using trigonometric identities and integration by substitution. First, express sec(x) as 1/cos(x) and tan(x) as sin(x)/cos(x). Then, use the substitution u = cos(x), implying du = -sin(x) dx. After substituting and simplifying, the integral becomes an integral in terms of u. Finally, integrate with respect to u and revert back to the variable x.

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