What is the antiderivative of # x/(x^2+1)#?
Christopher AgrestaI found:
I tried by substitution:
By signing up, you agree to our Terms of Service and Privacy Policy
Aurora AlvaradoThe antiderivative of ( \frac{x}{x^2+1} ) with respect to (x) is ( \frac{1}{2}\ln|x^2+1| + 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.
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.
- What is #f(x) = int -x^2+x-4 dx# if #f(2) = -1 #?
- How do you integrate #intdx/ sqrt(x^2 - a^2)#?
- How do you integrate #int 1/sqrt(e^(2x) -9)dx# using trigonometric substitution?
- How do you integrate #int 1/((x+1)(x^2+2x+2))# using partial fractions?
- How do you integrate #int e^x cos ^2 x^2 dx # using integration by parts?
- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7