# How do you evaluate the integral #int 1/(xsqrt(2+x^2))#?

Plugging this in shows that:

So:

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

To evaluate the integral ∫(1 / (x√(2 + x^2))) dx, you can use a trigonometric substitution. Let ( x = \sqrt{2} \tan(\theta) ). Then, ( dx = \sqrt{2} \sec^2(\theta) d\theta ). Substitute these into the integral and simplify it to make it easier to solve. Finally, integrate the resulting expression in terms of ( \theta ) and then substitute back in terms of ( x ) to obtain the final answer.

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 integrate by substitution #int root3(1-2x^2)(-4x)dx#?
- How do you integrate #int x arcsec x # using integration by parts?
- How do you integrate #int (4x+8)/(x^2+4x-25)# using substitution?
- How do you integrate #int x^3 t an x dx # using integration by parts?
- How do you integrate #int x^3 ln x^4 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