# How do you integrate #sin^(3)2xdx#?

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

There's no obvious replacement and no obvious parts, so I can't integrate right away.

That covers if in calculus. In trigonometry, there are additional

Try it:

I ought to be able to combine each of these two terms now:

Thus, we obtain:

Or view the alternative solution I'll share.

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

To integrate sin^(3)(2x) dx, you can use the trigonometric identity:

sin^3(2x) = (1/4)(3sin(2x) - sin(6x))

Then, integrate each term separately:

∫(1/4)(3sin(2x) - sin(6x)) dx

= (1/4) * (∫3sin(2x) dx - ∫sin(6x) dx)

= (1/4) * (-3/2cos(2x) + (1/6)cos(6x)) + C

= -(3/8)cos(2x) + (1/24)cos(6x) + 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