# How do you find the integral of sqrt x 2 1?

## How do you find the integral of sqrt x 2 1?

The domain of the function will thus be (u2212u221e,u22121]u222a[1,+u221e) . The range of the function will be determined by the fact that the square root of a real number must always be positive. The smallest value the function can take will happen for xu22121 and for x1 , since those values of x will make the radical term equal to zero.

## What is the domain of sqrt x 2 1?

The domain of the function will thus be (−∞,−1]∪[1,+∞) . The range of the function will be determined by the fact that the square root of a real number must always be positive. The smallest value the function can take will happen for x=−1 and for x=1 , since those values of x will make the radical term equal to zero.

## Is X 1/2 the same as the square root of x?

The reason this is true is that fractional exponents are defined that way. For example, x12 means the square root of x , and x13 means the cube root of x . In general, x1n means the n th root of x , written nu221ax . Therefore, x12u221ax .

## How do you find the integral of a square root function?

The integral of square root x can be found using the formula of integration u222bxn dx xn+1/(n + 1) + C. In this formula, we can substitute n 1/2 as root x can be written as u221ax x1/2.

## What is the domain of √ X 2?

Set the radicand in u221ax+2 greater than or equal to 0 to find where the expression is defined. Subtract 2 from both sides of the inequality. The domain is all values of x that make the expression defined. The range of a negative even indexed radical starts at its starting point (u22122,0) and extends to negative infinity.

## What is the domain of √ X?

So the domain for u221ax is xu22650 x u2265 0 .

## What is the domain of √?

The domain of a square root function is all values of x that result in a radicand that is equal to or greater than zero.

## What is the domain of X square 1?

Algebra Examples The domain of the expression is all real numbers except where the expression is undefined.

## Why is X 1/2 the same as a square root?

The reason this is true is that fractional exponents are defined that way. For example, x12 means the square root of x , and x13 means the cube root of x . In general, x1n means the n th root of x , written nu221ax . Therefore, x12u221ax .

## Is the square root of x equal to X?

We can define the symbol u221ax to be the number that which when squared gives x back, e.g. (u221ax)2x. We would like to write u221ax in the form xa so that (xa)2x

## Is the square root of x the same as X squared?

The square root of x is written or x. For example, since 32 9.

## What is the domain and range of √ X 2?

So, the Domain is the set of all non-negative reals, i.e., R+u222a{0}[0,u221e). Also, u2200xu2208R+u222a{0},u221axu22650u21d2yu221axu22122u2265u22122. Hence, the Range is [u22122,u221e).

## What is the domain and range of Y √ X 2 1?

So the domain for u221ax is xu22650 x u2265 0 .

## What is the domain of 1 √ X?

Set the radicand in u221ax greater than or equal to 0 to find where the expression is defined. The domain is all values of x that make the expression defined. The range of a negative even indexed radical starts at its starting point (0,1) and extends to negative infinity.

## What is the domain of square root of?

Assuming that we are working in real number domain, it is obvious x cannot take values less than one. Hence, domain is xu22651 . However, as u221axu22121 , y can take any value. Hencr, range is all real numbers.

## What is the domain and range of √ X 1?

u2234 Domain of y 1u221a|x|u2212x 1 | x | u2212 x is x x26lt; 0 or ( u221e, 0).