1.

Sum of all integer values in the range of \( f(x)=5+\left(\cos ^{-1} x\right) \)

Answer»

Principal value rang of cos-1x is [0, π]

\(\therefore\) Range of f(x) = 5 + cos-1x is [ 0 + 5, 5 + π]

 = [5, 5 + π] = [5, 8.14]

Integer value in the range of f(x) = 5 + cos-1x are 5, 6

\(\therefore\) Sum of all integer value  = 5 + 6 + 7 + 8 = 26



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