If \(\mathop \smallint \limits_0^{{\rm{\pi }}/2} \frac{{{\rm{dx}}}}{{3\cos {\rm{x}} + 5}} = {\rm{k}}{\cot ^{ - 1}}2\), then what is the value of k?

If \(\mathop \smallint \limits_0^{{\rm{\pi }}/2} \frac{{{\rm{dx}}}}{{3

1.	If \(\mathop \smallint \limits_0^{{\rm{\pi }}/2} \frac{{{\rm{dx}}}}{{3\cos {\rm{x}} + 5}} = {\rm{k}}{\cot ^{ - 1}}2\), then what is the value of k?
A.	1/4
B.	1/2
C.	1
D.	2
Answer» C. 1

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If \(\mathop \smallint \limits_0^{{\rm{\pi }}/2} \frac{{{\rm{dx}}}}{{3\cos {\rm{x}} + 5}} = {\rm{k}}{\cot ^{ - 1}}2\), then what is the value of k?

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