# How do you integrate #1/(x^2+4)#?

integral becomes

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

To integrate ( \frac{1}{x^2 + 4} ), you can use the following method:

Let ( u = \frac{x}{2} ) so that ( du = \frac{1}{2} dx ). Then, rewrite the integral as ( \frac{1}{4} \int \frac{1}{u^2 + 1} du ). This becomes ( \frac{1}{4} \arctan(u) + C ), where ( C ) is the constant of integration.

Substitute back ( u = \frac{x}{2} ) to get the final answer: ( \frac{1}{4} \arctan\left(\frac{x}{2}\right) + C ).

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.

- How do you find the sum of the infinite geometric series #Sigma (0.4)^n# from n=0 to #oo#?
- How do you evaluate the definite integral #int abs(x^2-4x+3)dx# from [0,4]?
- What is the antiderivative of #(ln(x))^2#?
- How do you evaluate #int (1) / (sqrt(1 + x))# for [0, 3]?
- How do you find the antiderivative of # ln(cosx) #?

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