How do you integrate #1/(x^2 + 9)#?
We will try to put this in the form of the arctangent integral:
So here, we see that:
By signing up, you agree to our Terms of Service and Privacy Policy
By signing up, you agree to our Terms of Service and Privacy Policy
To integrate 1/(x^2 + 9), you can use the formula for the integral of a rational function involving a quadratic term in the denominator. This can be done by applying a trigonometric substitution. The integral simplifies to (1/3) * arctan(x/3) + 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.
- How do you evaluate the integral #int 1/(x(lnx)^2)dx# from #e# to #oo#?
- What is #int_3^oo 3/x -2/(x-2)dx#?
- How to calculate the integral of 2-sinx/2+sinx?
- If f(3)=13, f' is continuous, and the integral from 3 to 5 f'(x)dx=24 then the value of f(5) is ?
- How do you evaluate the definite integral by the limit definition given #int x^3dx# from [-1,1]?
- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7