Using integration, find length of the curve

Question

27 Apr 2023

Answer :

Word Count : 612

To find the length of a curve using integration, you can utilize the arc length formula. The arc length formula for a curve given by the equation y = f(x) between two points a and b is:

L = ∫[a to b] √(1 + [f'(x)]²) dx

Here, f'(x) represents the derivative of f(x) with respect to x. To find the length of the curve, follow these steps:

1. Determine the function f(x) that represents the curve.
2. Find the derivative f'(x) by differentiating f(x) with respect to x.
3. Calculate the square of f'(x) and add 1.
4. Take ______ ____ _____ ______ _____.
__________ _______ __________ ______ ______ ____.
___ ___ ________ ____ ____ ______ ___.
_____ ___ __________ ________ ____ _____ __________ __________ _________ _________ _______.
___ _______ _____ _________ ______ __________.
__________ ______ _________ _______ _____ ____ _________ _____ ___ ________.
______ ______ ____ ____ _________ ________ ____ __________ ________.
_______ ________ _________ _____ _______ ______ _______ _______ __________.
__________ ____ __________ _____ _______ __________.
_________ ____ ___ ____ ______.
_____ ____ ___ ____ ____ ______.
____ ___ ___ ______ __________.
__________ ________ ________ _____ ____ _________.
_____ ____ ______ _________ ________ _____ _________ _____ __________ _____.
________ __________ ________ ______ ______ ______ ____ _______ _________ ________ ______.
_________ ______ ________ _________ _________ ______ ________.
____ ____ _____ _________ ____ ______ _____.
_____ _______ ______ ____ ___ _____ ________ _______ __________.
__________ __________ _____ _________ __________ _____ _________ ________ __________ _______ ___ ______.
________ _______ _____ _______ _________ _____ ________ _____.
_______ __________ ___ __________ ________ _______ ______ ____ _____.
_______ _________ _______ _______ _______ _______ ________ _____ ___ ______ ____.
__________ _________ ______ ____ __________ _______.
_________ ____ __________ _________ ________.
______ _________ _______ _______ __________ _________ _______ _________ _______.
_________ _____ ________ ____ ____ ____ __________ ______ _________ __________ ________.
_______ ________ __________ ________ ________ __________ ________ ________ _____ ___ ___.
__________ _________ _________ ______ ________ _____ _______ _________.
____ ______ _____ _______ _____ ____ _____ _______ ______ ______ ________ _____.
_______ __________ _____ _______ ____ _______ ______ __________.
____ _________ __________ ______ ________ ______ ________ __________ ________.
________ _________ ________ _________ _______ _____.
____ _______ _____ ________ ___ _____ _______ ________ _________ _________.
_______ _________ _____ ___ _______ ___ _________ ________ _________ _____.
__________ _______ _____ ____ _________ _________ _______ ___ __________.
_____ _______ ______ _______ _____.
________ _________ ______ ___ _____ _______ __________.
_________ _____ ______ _____ __________ _______ ____.
____ ____ ________ _____ __________ ______ __________ ________.
______ ___ ____ ________ __________ ____ __________ ___ ____.
___ ___ ___ _________ ___ ___ ___ _____ _____ _______.
__________ ______ __________ _____ ___ _____.
_______ _____ _______ ___ _____ _____.
____ ______ ______ _____ ____ ___ __________ ____ _______ ___.
_____ ___ __________ ___ ________ __________ ____ _______ __________ _________.
________ _______ __________ ________ ______ __________ __________ __________.
_______ ________ ______ _____ ______.
________ _________ ____ _______ ____ ___ _______ _______ ____ ___ ______ __________.
_______ __________ __________ _______ ______ _________.
_______ _________ __________ _______ ______ ________ ________ _______ ___ _______ _________ __________.
__________ __________ ________ _________ _____.
__________ ________ __________ ____ ________ ___ ______ _______ _____ ________.
__________ ________ _____ ____ __________ __________ __________ _________ ___ ______ ______ _______.
_______ ___ ____ ___ _______.
______ ________ __________ ___ ________ __________ ________ ______ _____ ________.
______ __________ _________ _________ ______ ________ _____ ________.
_________ _________ ___ ____ _______ __________ ______ ____.
___ _________ _____ __________ _____ ______.
_______ ____ ________ __________ ____ ___ _____ _______ __________.
__________ __________ _____ ____ ____ ____.
_________ __________ ________ ___ ________ _______ __________ ___.
_________ __________ _____ ________ _____ ____ ______ _______.
______ ________ __________ ______ ____.
Get Full Answer on WhatsApp

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers

IGNOU NEWS

Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★