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Math Help - check an answer?

  1. #1
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    check an answer?

    Determine the integral:

    6(3x+5)^11 dx

    I got 6 (3x+5/36)^12 +C

    A yay or Nay would be great if someone doesn't mind
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  2. #2
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    Quote Originally Posted by ally79 View Post
    Determine the integral:

    6(3x+5)^11 dx

    I got 6 (3x+5/36)^12 +C

    A yay or Nay would be great if someone doesn't mind
    Erm.... does Ynay work ?

    It's (6(3x+5)^12)/36 +C=((3x+5)^12)/6 +C, not what you've written
    Try to figure it out. Putting parenthesis can sometimes help ! ^^
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  3. #3
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    Hi!

    You can proved it by yourself by differentiating it

    or try the linear substitution

    all the best, marine
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  4. #4
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    Quote Originally Posted by ally79 View Post
    Determine the integral:

    6(3x+5)^11 dx

    I got 6 (3x+5/36)^12 +C

    A yay or Nay would be great if someone doesn't mind
    \int 6(3x+5)^{11} dx

    Let u=3x+5 and so \frac{du}{dx}=3

    So \int 6(3x+5)^{11} dx=2\int 3(3x+5)^{11} dx = 2\int u^{11} \frac{du}{dx} dx
     = 2 \int u^{11}du = \frac{1}{6} u^{12} +C = \frac{1}{6}(3x+5)^{12}+C
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