How to Integrate sqrt(1+3x) Correctly?

In summary, the formula for calculating arc length is s = rθ, where s is the arc length, r is the radius, and θ is the central angle in radians. To find the central angle in radians, divide the degree measure by 180 and multiply by π. This formula only applies to circles and for other shapes, a different formula may be needed. Arc length is the distance along the curved line of the arc, while circumference is the distance around the entire circle. To convert arc length from radians to degrees, multiply the radian measure by 180 and divide by π.
  • #1
sargentidiot
2
0
NVM bout the arc length, need help on integrations

Homework Statement


Integrate sqrt(1+3x)

Homework Equations


Sqrt (1+3x)

The Attempt at a Solution


i made it into
(1+3x)^(1/2)
 
Last edited:
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  • #2
sargentidiot said:
NVM bout the arc length, need help on integrations

Homework Statement


Integrate sqrt(1+3x)


Homework Equations


Sqrt (1+3x)




The Attempt at a Solution


i made it into
(1+3x)^(1/2)

have you tried u-substitution? use u=1+3x and see what you get
 
  • #3
ok so i got
(2(1+3x)^(3/2))/9
would that be right
 
  • #4
sargentidiot said:
ok so i got
(2(1+3x)^(3/2))/9
would that be right

yes, you got it
 

Related to How to Integrate sqrt(1+3x) Correctly?

1. What is the formula for calculating arc length?

The formula for calculating arc length is:
s = rθ, where s represents the arc length, r is the radius of the circle, and θ is the central angle in radians.

2. How do I find the central angle in radians?

To find the central angle in radians, divide the degree measure of the angle by 180 and multiply by π (pi).

3. Can I use the same formula to calculate arc length for any shape?

No, the formula for calculating arc length only applies to circles. For other shapes, a different formula may be needed.

4. What is the difference between arc length and circumference?

Arc length is the distance along the curved line of the arc, while circumference is the distance around the entire circle.

5. How do I convert arc length from radians to degrees?

To convert arc length from radians to degrees, multiply the radian measure by 180 and divide by π (pi).

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