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    hey if any one needs C4 help with any kind of question just post it here and challenge me. Answers will be given in 24 hrs

    thanks
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    :rofl:
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    (Original post by YYYY)
    :rofl:
    Hey i need help on these questions and it probablly wont challenge you but help me anyway please .

    Use the substituion u=5x+3 to find an exact value for ∫ 10x/ (5x+3)^3dx... btw it has limits of 3 and 0 i just couldnt put them in there.

    The second is a vectors question:

    Origion 0 and points A and B have position vectors i-5j-7k and 10i+10j+5k respectively. P is a point on line AB.

    a)find a vector for the line passing through A and B
    b) Find the position vector of point P such that OP is perpendicular to AB
    c) Dind the area of triangle OAB.

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    (Original post by jakezg)
    Hey i need help on these questions and it probablly wont challenge you but help me anyway please .

    Use the substituion u=5x+3 to find an exact value for ∫ 10x/ (5x+3)^3dx... btw it has limits of 3 and 0 i just couldnt put them in there.

    The second is a vectors question:

    Origion 0 and points A and B have position vectors i-5j-7k and 10i+10j+5k respectively. P is a point on line AB.

    a)find a vector for the line passing through A and B
    b) Find the position vector of point P such that OP is perpendicular to AB
    c) Dind the area of triangle OAB.

    \int \frac{10x}{(5x+3)^3}  dx
    u = 5x+3
    \frac{du}{dx} = 5
    \frac{dx}{du} = \frac{1}{5}

    the integral then becomes:

    \int \frac{2u-6}{(u)^3}.\frac{1}{5}  du
    \frac{2}{5}\int \frac{u-3}{u^3}  du
    \frac{2}{5}\int u^{-2} - 3u^{-3}  du

    integrate that between 3 and 18.
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    he done it for me. Any more questions just post or mail me.
 
 
 
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