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Math Help - U substitution

  1. #1
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    U substitution

    This seems like it might be very obvious but I have trouble with U substitution. Can someone show me how they would solve this by U substitution?

    the integral from .5 to 1 of ln(2x+3) over 2x+3 dx.
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  2. #2
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    Quote Originally Posted by mike21 View Post
    This seems like it might be very obvious but I have trouble with U substitution. Can someone show me how they would solve this by U substitution?

    the integral from .5 to 1 of ln(2x+3) over 2x+3 dx.
    u=\ln(2x+3) \implies du=\frac{2}{2x+3}dx

    Can you finish from here?
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  3. #3
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    Quote Originally Posted by TheEmptySet View Post
    u=\ln(2x+3) \implies du=\frac{2}{2x+3}dx

    Can you finish from here?
    so then you plug u in so it would look like u over 2x+3 but do you integrate in respect to u or x?
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  4. #4
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    you will substitute du/2 for dx/(2x+3) and then integrate with respect to u.
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