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    Please could someone tell me whether this is a integration by parts or just by substitution question?


    Integral of : 2x(2x-3)^0.5

    I cannot do it!!!
    I have reached du= (2x-3)^0.5 dx
    and do not know what to do now?
    Btw I haven’t learnt integration by parts yet.
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    (Original post by Mathathonica)
    Please could someone tell me whether this is a integration by parts or just by substitution question?


    Integral of : 2x(2x-3)^0.5

    I cannot do it!!!
    I have reached du= (2x-3)^0.5 dx
    and do not know what to do now?
    Btw I haven’t learnt integration by parts yet.
    No IBP required.

    What did you set u =?
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    Hey

    Put t = 2x - 3
    dt = 2 dx

    So, our equation becomes
    Integral 2x (2x - 3)^1/2 dx
    = Integral (2x) t^1/2 (2 dt)
    = Integral 2 (t + 3) t^1/2 dt
    = Integral t (t^1/2) dt + 3 (t^1/2) dt

    Now, can you solve it?
 
 
 
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