Hey there! Sign in to join this conversationNew here? Join for free
    • Thread Starter
    Offline

    14
    ReputationRep:
    here we go again :p:
    integrate the following with respect to x

    y=4+x4+√x

    ∫ (4 + x4 +
    i get to there and get lost in what i'm meant to be doing

    i get say
    y= x8
    ∫x8 dx
    = x9 /9 + C
    • Community Assistant
    Offline

    20
    ReputationRep:
    Community Assistant
    Write \sqrt{x} as x^{\frac{1}{2}}.
    • Thread Starter
    Offline

    14
    ReputationRep:
    so would it go
    ∫ (4 + x4 +x1/2 )dx
    ∫ (4 + x-4 +x1/2 )dx



    and then i become confused on the most of it
    • PS Helper
    Offline

    14
    PS Helper
    (Original post by robinson999)
    so would it go
    ∫ (4 + x4 +x1/2 )dx
    ∫ (4 + x-4 +x1/2 )dx
    Where have you got the -4 from?

    When you integrate, you raise the power by 1 and divide by the new power. So, for example, \displaystyle \int x^4\ \mbox{d}x = \dfrac{x^5}{5} + C. Remember that \displaystyle \int (4 + x^4 + \sqrt{x})\ \mbox{d}x = \int 4\ \mbox{d}x + \int x^4\ \mbox{d}x + \int x^{1/2}\ \mbox{d}x.
    Offline

    2
    ReputationRep:
    Remember you add a power and divide by the new power when integrating.
    • Community Assistant
    Offline

    20
    ReputationRep:
    Community Assistant
    The first one of your two offerings.

    Follow the rule:

    Add 1 to the power and divide by the new power (Add one more, drop it through the trap door).

    Work along from left to right one term at a time.

    Don't forget the constant of integration.
    • Thread Starter
    Offline

    14
    ReputationRep:
    (Original post by nuodai)
    Where have you got the -4 from?

    When you integrate, you raise the power by 1 and divide by the new power. So, for example, \displaystyle \int x^4\ \mbox{d}x = \dfrac{x^5}{5} + C.
    i dunno, i trying to go by, it seems failed lecture notes :p:

    that just confuses me
    • Community Assistant
    Offline

    20
    ReputationRep:
    Community Assistant
    Then you need to go right back to the beginning of integration. PM me with an email address and I will send you a powerpoint or two to explain it.
    • Thread Starter
    Offline

    14
    ReputationRep:
    cheers , sorry this take some time not a maths student, but my uni think its important to do on my degree
    sort of getting it from the post
 
 
 
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • Poll
    Would you like to hibernate through the winter months?
    Useful resources

    Make your revision easier

    Maths

    Maths Forum posting guidelines

    Not sure where to post? Read the updated guidelines here

    Equations

    How to use LaTex

    Writing equations the easy way

    Student revising

    Study habits of A* students

    Top tips from students who have already aced their exams

    Study Planner

    Create your own Study Planner

    Never miss a deadline again

    Polling station sign

    Thinking about a maths degree?

    Chat with other maths applicants

    Can you help? Study help unanswered threads

    Groups associated with this forum:

    View associated groups
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • 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

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