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shaqadry

  • 3 years ago

integrate -x(1+2x)^5 dx

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  1. ash2326
    • 3 years ago
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    \[\int -x(1+2x)^5dx\] We can expand (1+2x)^5, but that will be tiring Do you know u substitution method ?

  2. shaqadry
    • 3 years ago
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    how do i solve it by parts?

  3. ash2326
    • 3 years ago
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    Not by parts, do u know u-substitution? It'll make it easy

  4. ash2326
    • 3 years ago
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    @shaqadry Put 2x+1=t so \[2dx=dt\] \[dx=\frac{dt}{2}\] Do you get this?

  5. shaqadry
    • 3 years ago
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    yes!

  6. shaqadry
    • 3 years ago
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    and then?

  7. shaqadry
    • 3 years ago
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    wait but the question requires me to solve it by parts :-/

  8. ash2326
    • 3 years ago
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    Then, we will use this \[\int uv=u\int v-\int(du \int v)\]

  9. ash2326
    • 3 years ago
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    Can you try, apply it here?

  10. shaqadry
    • 3 years ago
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    @ash2326 which one should i equate to 'u' ? which is the better choice?

  11. ash2326
    • 3 years ago
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    Equate x to u, it'll become 1 in the second part of by parts and then we find the integral easily @shaqadry

  12. shaqadry
    • 3 years ago
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    okay thanks i will try to solve it!

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