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Mathematics
The value of ∫ cos ( log x) dx is :
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Q. The value of $\int \cos (\log x) dx$ is :
BITSAT
BITSAT 2021
A
$\frac{1}{2}[\sin (\log x)+\cos (\log x)]+ C$
B
$\frac{x}{2}[\sin (\log x)+\cos (\log x)]+ C$
C
$\frac{x}{2}[\sin (\log x)-\cos (\log x)]+ C$
D
$\frac{1}{2}[\sin (\log x)-\cos (\log x)]+C$
Solution:
Correct answer is (b) $\frac{x}{2}[\sin (\log x)+\cos (\log x)]+ C$