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I am using the wrapfig package to place a figure with text wrapped around it. Here is a minimal example, with a screenshot of the relevant part of the output below:

documentclass{book}



usepackage{graphicx}

usepackage{wrapfig}



begin{document}



begin{center}

textbf{Large Lorem ipsum}

end{center}

vspace{18pt}



begin{wrapfigure}[15]{r}{0in}

includegraphics[width=0.4textwidth]{TestImage.jpg}

end{wrapfigure}



Lorem ipsum ... ridiculus mus.



end{document}

Looking at this output, I am not fond of how the figure is placed somewhat down from the top of the first paragraph. What is a minimal solution for raising the figure so that the top edge of the image is flush with the top of this paragraph?

A few clarifying notes: I don't need the solution to find the top of the paragraph automatically -- if I can just raise the image by a manually entered length, that's fine. Also, I'm fine with making this manual adjustment for each image; there's no need to make the change to all such images if that's not convenient.

You can set intextsep:

documentclass{book}



usepackage{graphicx}

usepackage{wrapfig}

setlengthintextsep{0pt}

begin{document}



begin{center}

textbf{Large Lorem ipsum}

end{center}

vspace{18pt}



begin{wrapfigure}[15]{r}{0in}

includegraphics[width=0.4textwidth]{example-image-duck}

end{wrapfigure}



Lorem ipsum ... ridiculus mus.



end{document}

An more manual alternative is to trim the graphic. By adjusting the value, you can move the graphic up and down:

documentclass{book}



usepackage{graphicx}

usepackage{wrapfig}

begin{document}



begin{center}

textbf{Large Lorem ipsum}

end{center}

vspace{18pt}



begin{wrapfigure}[15]{r}{0in}

includegraphics[width=0.4textwidth,trim=0pt 0pt 0pt 30pt]{example-image-duck}

end{wrapfigure}



Lorem ipsum ... ridiculus mus.



end{document}

Since you don't add a caption, it is simpler to use the InsertBoxR command, from the plain TeX macro package insbox. This command takes 2 mandatory arguments: the number of lines that remain untouched before the object is inserted, and the object itself, and 1 optional argument – yhe number of supplementary dhorter lines, in case TeX makes a wrong calculation of the number of lines that have to be shortened.

In the following code, the image is even above the first line (using a negative 1st argument), and I used a negative optional argument, so there no blank space under the image.

documentclass{book}



usepackage{graphicx}

usepackage{wrapfig}

usepackage[svgnames]{xcolor}

usepackage{lipsum}

input{insbox}

makeatletter@InsertBoxMargin =3mmmakeatother



begin{document}



begin{center}

textbf{Large Lorem ipsum}

end{center}

vspace{18pt}



InsertBoxR{-1}{{color{YellowGreen}rule{0.35textwidth}{0.3textheight}}}[-2]

lipsum



end{document}