# How do you find the integral of # (sin 2x + 1)^2#?

Expand the power of the binomial:

Use the linearity of the integral:

Solve the integrals separately:

And collecting the terms:

and applying trigonometric formulas to reduce to functions of the same angle:

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

To find the integral of ((\sin(2x) + 1)^2), you can use the substitution method. Let (u = \sin(2x) + 1). Then, differentiate (u) with respect to (x) to find (du). After that, rewrite the integral in terms of (u) and (du). Finally, integrate with respect to (u) and then substitute back (u = \sin(2x) + 1) to obtain the final result.

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