IGNOU MTE 1 2018 - Prove that

Question

Prove that

Image ignouacademy-com--p-that-68185

01 Feb 2018

Answer :

Word Count : 484

The problem statement contains a typographical error in the definition of \( I_n \). It should likely be \( I_n = \int \sec^n x \, dx \), not \( \int \sec^2 x \, dx \), as the latter does not depend on \( n \). Assuming this correction, here is the solution: ### Step 1: Establish the Reduction Formula for \( I_n = \int \sec^n x \, dx \) We start by expressing \( \sec^n x \) as \( \sec^{n-2} x \cdot \sec^2 x \) and use integration by parts: Let: - \( u = \sec^{n-2} x \) - \( dv = \sec^2 x \, dx

_________ ________ _______ ______ ______ _________ _____.
__________ ________ __________ _______ ______ ________ ________ _______ ______ __________.
__________ ____ ______ _________ _____ ________ _________ _______ ____ ________ _________ __________.
______ __________ ______ ____ ________ ___ _________ _______.
__________ __________ ________ _______ _________ ___ __________ _______ _____ _________.
____ ________ ________ ______ _____ _________ _________ ________ ______ __________.
________ ____ _______ _____ ___ ______.
_______ _______ ________ ______ __________ ______ _______.
___ __________ ______ _________ _______ __________ ________ ______ _______ _________ _________ _________.
____ _______ ___ ___ _____ _____ ___ ___ _________ ________ _______.
___ _____ _____ _________ _____ ______.
_________ ___ ______ _________ _________ ___ _____ _______.
____ _____ _________ ______ ______ _______ ________.
_______ _______ _____ ___ ____ _____ _______ ______ _________ ________ ____.
___ __________ ____ __________ ________ ___ ______ _______ _____.
__________ _____ _____ __________ ________ _____ __________ ________ ________ ______ ____.
__________ ____ _____ ____ ____ _________.
____ _______ ______ _________ __________ __________ ___ ________ _________ _____ ___.
______ ________ ______ ________ ____ ________ _____ ________ ____ ___.
_____ ___ __________ _______ __________ _____ ___ ________ _______ ___ _______ ___.
______ ______ _________ ________ _____ _____ _____ _________ __________ _______ _______ ____.
__________ _________ ____ ________ ________ ___ _______ _________ ___.
______ _________ ______ _____ ____ _____ __________ _________ ____ __________ ______ _________.
_________ _____ ____ _____ ___ _____ _______ _______ _______.
____ ___ ___ _____ ___ ________ ______ __________.
___ ______ ______ _____ ______ _____ _________ _________ _____.
______ ________ _____ ___ ________ _____.
_________ _________ ___ ________ ____ ________ _______.
_________ ______ _______ __________ ____ ______ ______ ______ _______ ________ __________.
__________ _________ ______ ____ _____ __________.
_______ __________ __________ __________ ____ ___ _______ ____.
___ ___ ____ ___ _______ ____ _____ _____ ___ _____.
_______ ________ ___ __________ _____ ____ ______ _________ ______.
_____ _________ ____ ________ ____ _____ _________.
_______ ______ __________ _____ ____.
_________ __________ ______ __________ ______ ________ __________ _______ ____ _______ ___ __________.
___ ____ ___ _________ ______ __________ _________ ______ _____ _________ _______ _____.
_______ _____ __________ _____ ___ __________.
____ ____ ________ _________ ________ __________ ___ _______.
__________ __________ ____ __________ ______ ______ ___ _________ __________ _________.
_______ ___ _____ _________ ____ _________ ______ ______.
________ __________ ______ ___ ______ _______ ____ ___ ____ _________.

IGNOU ACADEMY

Your IGNOU journey, made easier.

Solved Assignments
Study Notes
Guess Papers
Question Papers

Call Us WhatsApp

STUDY • PREPARE • SUCCEED

Skip in 10