Given an integral of a function parametrized with respect to an integer index n, prove a given recursive identity and use this to evaluate the integral for a specific value of n.

This exercise is interesting as it combines a variety of concepts fundamental to integration and maths in general. It also allows to introduce the student to the idea of recursion, very often used to solve mathematical and computational problems.Integration by parts will be used to solve the integral and to prove the recursive relation. Finally Such relation will be exploited to find the third element of the series. Solution will be provided on the whiteboard.

Answered by Marco C. Maths tutor

2328 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do I find the maximum/minimum of a function?


Find the values of x where the curve y = 8 -4x-2x^2 crosses the x-axis.


How do I find the minimum or maximum of a quadratic function?


Differentiate y=(x^2+5)^7


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences