Turn on thread page Beta
    • Thread Starter
    Offline

    2
    ReputationRep:
    Given that:
    I(n) = the integral with limits -1 and 0 of x^n(1+x)^0.5
    Where n >=0

    Show that: I(n) = (-2n)/(2n+3) I(n-1)
    Where n >=1
    Offline

    15
    (Original post by RockConcert)
    Given that:
    I(n) = the integral with limits -1 and 0 of x^n(1+x)^0.5
    Where n >=0

    Show that: I(n) = (-2n)/(2n+3) I(n-1)
    Where n >=1
    Start by integrating by parts.
    • Thread Starter
    Offline

    2
    ReputationRep:
    (Original post by EricPiphany)
    Start by integrating by parts.
    I've been integrating by parts and consistently get:
    Name:  IMG_0430.jpg
Views: 69
Size:  498.9 KB

    Then I try different things, the current attempt it:

    Attachment 511383511385
    Attached Images
     
    Offline

    15
    (Original post by RockConcert)
    I've been integrating by parts and consistently get:
    Name:  IMG_0430.jpg
Views: 69
Size:  498.9 KB
    Last line of this is wrong.

    Then I try different things, the current attempt it:

    Attachment 511383511385
    3/2 = 1 + 1/2
    • Thread Starter
    Offline

    2
    ReputationRep:
    (Original post by EricPiphany)
    3/2 = 1 + 1/2
    Yeahhhh, after that step everything was so straight forward! My silly mistakes this evening are torture...thank you so so much
 
 
 

University open days

  • Sheffield Hallam University
    City Campus Postgraduate
    Wed, 17 Oct '18
  • Northumbria University
    All faculties Undergraduate
    Wed, 17 Oct '18
  • Staffordshire University
    Nursing and Midwifery Undergraduate
    Wed, 17 Oct '18
Poll
Who is most responsible for your success at university
Help with your A-levels

All the essentials

The adventure begins mug

Student life: what to expect

What it's really like going to uni

Rosette

Essay expert

Learn to write like a pro with our ultimate essay guide.

Uni match

Uni match

Our tool will help you find the perfect course for you

Study planner

Create a study plan

Get your head around what you need to do and when with the study planner tool.

Study planner

Resources by subject

Everything from mind maps to class notes.

Hands typing

Degrees without fees

Discover more about degree-level apprenticeships.

A student doing homework

Study tips from A* students

Students who got top grades in their A-levels share their secrets

Study help links and info

Can you help? Study help unanswered threadsRules and posting guidelines

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.