[tex]\displaystyle \mbox{If }\, \int_{\pi/3}^{\pi/2}\, \dfrac{\sin(x)}{1\, +\, \cos(x)}\, dx\, =\, \int_{3/2}^1\, f(u)\, du,[/tex]

. . .[tex]\mbox{then which of the following statements is true?}[/tex]

[tex]\mbox{A. }\, u\, =\, 1\, +\, \cos(x),\, du\, =\, \sin(x)\, dx[/tex]

[tex]\mbox{B. }\, u\, =\, 1\, +\, \cos(x),\, du\, =\, -\sin(x)\, dx[/tex]

[tex]\mbox{C. }\, u\, =\, \cos(x),\, du\, =\, \sin(x)\, dx[/tex]

[tex]\mbox{D. }\, u\, =\, \cos(x),\, du\, =\, -\sin(x)\, dx[/tex]

[tex]\mbox{E. }\, u\, =\, \sin(x),\, du\, =\, \cos(x)\, dx[/tex]

The first thing I did was solve the left function getting ln(3/2)
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